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Finding the Fourth Proportional to 1,223.20, 1,688.20 and 804.76

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Solution

The fourth proportional to 1,223.20, 1,688.20 and 804.76 is: 1,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.20 : 1,688.20 = 804.76 : x
  2. Step 2: Convert to fraction form
    1,223.20/1,688.20 = 804.76/x
  3. Step 3: Cross multiply
    1,223.20x = 1,688.20 × 804.76
  4. Step 4: Simplify right side
    1,223.20x = 1,358,595.83
  5. Step 5: Solve for x
    x = 1,358,595.83/1,223.20
  6. Step 6: Final answer
    x = 1,110.69

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Half scale
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Double scale
Find fourth proportional to 1,224.20, 1,689.58 and 805.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.