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Finding the Fourth Proportional to 874.74, 1,312.16 and 258.46

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Solution

The fourth proportional to 874.74, 1,312.16 and 258.46 is: 387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.74 : 1,312.16 = 258.46 : x
  2. Step 2: Convert to fraction form
    874.74/1,312.16 = 258.46/x
  3. Step 3: Cross multiply
    874.74x = 1,312.16 × 258.46
  4. Step 4: Simplify right side
    874.74x = 339,136.30
  5. Step 5: Solve for x
    x = 339,136.30/874.74
  6. Step 6: Final answer
    x = 387.70

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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.