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Finding the Fourth Proportional to 875.50, 1,312.89 and 355.40

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Solution

The fourth proportional to 875.50, 1,312.89 and 355.40 is: 532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.50 : 1,312.89 = 355.40 : x
  2. Step 2: Convert to fraction form
    875.50/1,312.89 = 355.40/x
  3. Step 3: Cross multiply
    875.50x = 1,312.89 × 355.40
  4. Step 4: Simplify right side
    875.50x = 466,601.11
  5. Step 5: Solve for x
    x = 466,601.11/875.50
  6. Step 6: Final answer
    x = 532.95

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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.