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Finding the Fourth Proportional to 424.71, 586.98 and 346.68

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Solution

The fourth proportional to 424.71, 586.98 and 346.68 is: 479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.71 : 586.98 = 346.68 : x
  2. Step 2: Convert to fraction form
    424.71/586.98 = 346.68/x
  3. Step 3: Cross multiply
    424.71x = 586.98 × 346.68
  4. Step 4: Simplify right side
    424.71x = 203,494.23
  5. Step 5: Solve for x
    x = 203,494.23/424.71
  6. Step 6: Final answer
    x = 479.14

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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.