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Finding the Fourth Proportional to 832.88, 1,248.90 and 312.86

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Solution

The fourth proportional to 832.88, 1,248.90 and 312.86 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.88 : 1,248.90 = 312.86 : x
  2. Step 2: Convert to fraction form
    832.88/1,248.90 = 312.86/x
  3. Step 3: Cross multiply
    832.88x = 1,248.90 × 312.86
  4. Step 4: Simplify right side
    832.88x = 390,730.85
  5. Step 5: Solve for x
    x = 390,730.85/832.88
  6. Step 6: Final answer
    x = 469.13

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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.