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Finding the Fourth Proportional to 589.71, 812.61 and 500.91

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Solution

The fourth proportional to 589.71, 812.61 and 500.91 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.71 : 812.61 = 500.91 : x
  2. Step 2: Convert to fraction form
    589.71/812.61 = 500.91/x
  3. Step 3: Cross multiply
    589.71x = 812.61 × 500.91
  4. Step 4: Simplify right side
    589.71x = 407,044.48
  5. Step 5: Solve for x
    x = 407,044.48/589.71
  6. Step 6: Final answer
    x = 690.25

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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.