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Finding the Fourth Proportional to 474.64, 714.76 and 414.50

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Solution

The fourth proportional to 474.64, 714.76 and 414.50 is: 624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.64 : 714.76 = 414.50 : x
  2. Step 2: Convert to fraction form
    474.64/714.76 = 414.50/x
  3. Step 3: Cross multiply
    474.64x = 714.76 × 414.50
  4. Step 4: Simplify right side
    474.64x = 296,268.02
  5. Step 5: Solve for x
    x = 296,268.02/474.64
  6. Step 6: Final answer
    x = 624.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.