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Finding the Fourth Proportional to 710.78, 1,064.99 and 433.19

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Solution

The fourth proportional to 710.78, 1,064.99 and 433.19 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.78 : 1,064.99 = 433.19 : x
  2. Step 2: Convert to fraction form
    710.78/1,064.99 = 433.19/x
  3. Step 3: Cross multiply
    710.78x = 1,064.99 × 433.19
  4. Step 4: Simplify right side
    710.78x = 461,335.53
  5. Step 5: Solve for x
    x = 461,335.53/710.78
  6. Step 6: Final answer
    x = 649.06

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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.