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Finding the Fourth Proportional to 876.01, 1,312.74 and 442.57

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Solution

The fourth proportional to 876.01, 1,312.74 and 442.57 is: 663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.01 : 1,312.74 = 442.57 : x
  2. Step 2: Convert to fraction form
    876.01/1,312.74 = 442.57/x
  3. Step 3: Cross multiply
    876.01x = 1,312.74 × 442.57
  4. Step 4: Simplify right side
    876.01x = 580,979.34
  5. Step 5: Solve for x
    x = 580,979.34/876.01
  6. Step 6: Final answer
    x = 663.21

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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.