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Finding the Fourth Proportional to 477.03, 714.70 and 417.80

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Solution

The fourth proportional to 477.03, 714.70 and 417.80 is: 625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.03 : 714.70 = 417.80 : x
  2. Step 2: Convert to fraction form
    477.03/714.70 = 417.80/x
  3. Step 3: Cross multiply
    477.03x = 714.70 × 417.80
  4. Step 4: Simplify right side
    477.03x = 298,600.17
  5. Step 5: Solve for x
    x = 298,600.17/477.03
  6. Step 6: Final answer
    x = 625.96

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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.