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Finding the Fourth Proportional to 877.08, 1,312.52 and 645.44

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Solution

The fourth proportional to 877.08, 1,312.52 and 645.44 is: 965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.08 : 1,312.52 = 645.44 : x
  2. Step 2: Convert to fraction form
    877.08/1,312.52 = 645.44/x
  3. Step 3: Cross multiply
    877.08x = 1,312.52 × 645.44
  4. Step 4: Simplify right side
    877.08x = 847,152.91
  5. Step 5: Solve for x
    x = 847,152.91/877.08
  6. Step 6: Final answer
    x = 965.88

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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.