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Finding the Fourth Proportional to 872.54, 1,307.46 and 507.50

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Solution

The fourth proportional to 872.54, 1,307.46 and 507.50 is: 760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.54 : 1,307.46 = 507.50 : x
  2. Step 2: Convert to fraction form
    872.54/1,307.46 = 507.50/x
  3. Step 3: Cross multiply
    872.54x = 1,307.46 × 507.50
  4. Step 4: Simplify right side
    872.54x = 663,535.95
  5. Step 5: Solve for x
    x = 663,535.95/872.54
  6. Step 6: Final answer
    x = 760.46

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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.