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Finding the Fourth Proportional to 806.75, 1,113.28 and 470.69

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Solution

The fourth proportional to 806.75, 1,113.28 and 470.69 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.75 : 1,113.28 = 470.69 : x
  2. Step 2: Convert to fraction form
    806.75/1,113.28 = 470.69/x
  3. Step 3: Cross multiply
    806.75x = 1,113.28 × 470.69
  4. Step 4: Simplify right side
    806.75x = 524,003.02
  5. Step 5: Solve for x
    x = 524,003.02/806.75
  6. Step 6: Final answer
    x = 649.52

Related Problems

Find fourth proportional to 403.38, 556.64 and 235.34
Half scale
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Double scale
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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.