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Finding the Fourth Proportional to 875.25, 1,312.88 and 298.13

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Solution

The fourth proportional to 875.25, 1,312.88 and 298.13 is: 447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.25 : 1,312.88 = 298.13 : x
  2. Step 2: Convert to fraction form
    875.25/1,312.88 = 298.13/x
  3. Step 3: Cross multiply
    875.25x = 1,312.88 × 298.13
  4. Step 4: Simplify right side
    875.25x = 391,400.86
  5. Step 5: Solve for x
    x = 391,400.86/875.25
  6. Step 6: Final answer
    x = 447.19

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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.