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Finding the Fourth Proportional to 710.43, 1,065.74 and 315.55

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Solution

The fourth proportional to 710.43, 1,065.74 and 315.55 is: 473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.43 : 1,065.74 = 315.55 : x
  2. Step 2: Convert to fraction form
    710.43/1,065.74 = 315.55/x
  3. Step 3: Cross multiply
    710.43x = 1,065.74 × 315.55
  4. Step 4: Simplify right side
    710.43x = 336,294.26
  5. Step 5: Solve for x
    x = 336,294.26/710.43
  6. Step 6: Final answer
    x = 473.37

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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.