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Finding the Fourth Proportional to 716.47, 989.66 and 592.63

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Solution

The fourth proportional to 716.47, 989.66 and 592.63 is: 818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.47 : 989.66 = 592.63 : x
  2. Step 2: Convert to fraction form
    716.47/989.66 = 592.63/x
  3. Step 3: Cross multiply
    716.47x = 989.66 × 592.63
  4. Step 4: Simplify right side
    716.47x = 586,502.21
  5. Step 5: Solve for x
    x = 586,502.21/716.47
  6. Step 6: Final answer
    x = 818.60

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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.