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Finding the Fourth Proportional to 474.68, 710.40 and 292.20

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Solution

The fourth proportional to 474.68, 710.40 and 292.20 is: 437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.68 : 710.40 = 292.20 : x
  2. Step 2: Convert to fraction form
    474.68/710.40 = 292.20/x
  3. Step 3: Cross multiply
    474.68x = 710.40 × 292.20
  4. Step 4: Simplify right side
    474.68x = 207,578.88
  5. Step 5: Solve for x
    x = 207,578.88/474.68
  6. Step 6: Final answer
    x = 437.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.