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Finding the Fourth Proportional to 872.80, 1,307.95 and 462.13

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Solution

The fourth proportional to 872.80, 1,307.95 and 462.13 is: 692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.80 : 1,307.95 = 462.13 : x
  2. Step 2: Convert to fraction form
    872.80/1,307.95 = 462.13/x
  3. Step 3: Cross multiply
    872.80x = 1,307.95 × 462.13
  4. Step 4: Simplify right side
    872.80x = 604,442.93
  5. Step 5: Solve for x
    x = 604,442.93/872.80
  6. Step 6: Final answer
    x = 692.53

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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.