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Finding the Fourth Proportional to 593.71, 818.69 and 407.47

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Solution

The fourth proportional to 593.71, 818.69 and 407.47 is: 561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.71 : 818.69 = 407.47 : x
  2. Step 2: Convert to fraction form
    593.71/818.69 = 407.47/x
  3. Step 3: Cross multiply
    593.71x = 818.69 × 407.47
  4. Step 4: Simplify right side
    593.71x = 333,587.53
  5. Step 5: Solve for x
    x = 333,587.53/593.71
  6. Step 6: Final answer
    x = 561.87

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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.