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Finding the Fourth Proportional to 937.79, 1,407.98 and 590.15

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Solution

The fourth proportional to 937.79, 1,407.98 and 590.15 is: 886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.79 : 1,407.98 = 590.15 : x
  2. Step 2: Convert to fraction form
    937.79/1,407.98 = 590.15/x
  3. Step 3: Cross multiply
    937.79x = 1,407.98 × 590.15
  4. Step 4: Simplify right side
    937.79x = 830,909.41
  5. Step 5: Solve for x
    x = 830,909.41/937.79
  6. Step 6: Final answer
    x = 886.03

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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.