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Finding the Fourth Proportional to 474.89, 712.88 and 282.92

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Solution

The fourth proportional to 474.89, 712.88 and 282.92 is: 424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.89 : 712.88 = 282.92 : x
  2. Step 2: Convert to fraction form
    474.89/712.88 = 282.92/x
  3. Step 3: Cross multiply
    474.89x = 712.88 × 282.92
  4. Step 4: Simplify right side
    474.89x = 201,686.60
  5. Step 5: Solve for x
    x = 201,686.60/474.89
  6. Step 6: Final answer
    x = 424.70

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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.