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Finding the Fourth Proportional to 474.60, 710.08 and 353.40

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Solution

The fourth proportional to 474.60, 710.08 and 353.40 is: 528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.60 : 710.08 = 353.40 : x
  2. Step 2: Convert to fraction form
    474.60/710.08 = 353.40/x
  3. Step 3: Cross multiply
    474.60x = 710.08 × 353.40
  4. Step 4: Simplify right side
    474.60x = 250,944.05
  5. Step 5: Solve for x
    x = 250,944.05/474.60
  6. Step 6: Final answer
    x = 528.75

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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.