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Finding the Fourth Proportional to 1,267.50, 1,902.15 and 498

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Solution

The fourth proportional to 1,267.50, 1,902.15 and 498 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.50 : 1,902.15 = 498 : x
  2. Step 2: Convert to fraction form
    1,267.50/1,902.15 = 498/x
  3. Step 3: Cross multiply
    1,267.50x = 1,902.15 × 498
  4. Step 4: Simplify right side
    1,267.50x = 947,270.70
  5. Step 5: Solve for x
    x = 947,270.70/1,267.50
  6. Step 6: Final answer
    x = 747.35

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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.