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Finding the Fourth Proportional to 465.60, 702.08 and 415.20

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Solution

The fourth proportional to 465.60, 702.08 and 415.20 is: 626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 702.08 = 415.20 : x
  2. Step 2: Convert to fraction form
    465.60/702.08 = 415.20/x
  3. Step 3: Cross multiply
    465.60x = 702.08 × 415.20
  4. Step 4: Simplify right side
    465.60x = 291,503.62
  5. Step 5: Solve for x
    x = 291,503.62/465.60
  6. Step 6: Final answer
    x = 626.08

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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.