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Finding the Fourth Proportional to 1,164.76, 1,746.76 and 434.14

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Solution

The fourth proportional to 1,164.76, 1,746.76 and 434.14 is: 651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.76 : 1,746.76 = 434.14 : x
  2. Step 2: Convert to fraction form
    1,164.76/1,746.76 = 434.14/x
  3. Step 3: Cross multiply
    1,164.76x = 1,746.76 × 434.14
  4. Step 4: Simplify right side
    1,164.76x = 758,338.39
  5. Step 5: Solve for x
    x = 758,338.39/1,164.76
  6. Step 6: Final answer
    x = 651.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.