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Finding the Fourth Proportional to 772.69, 1,066.31 and 462.19

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Solution

The fourth proportional to 772.69, 1,066.31 and 462.19 is: 637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.69 : 1,066.31 = 462.19 : x
  2. Step 2: Convert to fraction form
    772.69/1,066.31 = 462.19/x
  3. Step 3: Cross multiply
    772.69x = 1,066.31 × 462.19
  4. Step 4: Simplify right side
    772.69x = 492,834.58
  5. Step 5: Solve for x
    x = 492,834.58/772.69
  6. Step 6: Final answer
    x = 637.82

Related Problems

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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.