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Finding the Fourth Proportional to 710.08, 1,063.23 and 417.34

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Solution

The fourth proportional to 710.08, 1,063.23 and 417.34 is: 624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.08 : 1,063.23 = 417.34 : x
  2. Step 2: Convert to fraction form
    710.08/1,063.23 = 417.34/x
  3. Step 3: Cross multiply
    710.08x = 1,063.23 × 417.34
  4. Step 4: Simplify right side
    710.08x = 443,728.41
  5. Step 5: Solve for x
    x = 443,728.41/710.08
  6. Step 6: Final answer
    x = 624.90

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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.