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Finding the Fourth Proportional to 715.71, 1,071.23 and 442.02

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Solution

The fourth proportional to 715.71, 1,071.23 and 442.02 is: 661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.71 : 1,071.23 = 442.02 : x
  2. Step 2: Convert to fraction form
    715.71/1,071.23 = 442.02/x
  3. Step 3: Cross multiply
    715.71x = 1,071.23 × 442.02
  4. Step 4: Simplify right side
    715.71x = 473,502.87
  5. Step 5: Solve for x
    x = 473,502.87/715.71
  6. Step 6: Final answer
    x = 661.58

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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.