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Finding the Fourth Proportional to 837.24, 1,153.74 and 615.80

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Solution

The fourth proportional to 837.24, 1,153.74 and 615.80 is: 848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.24 : 1,153.74 = 615.80 : x
  2. Step 2: Convert to fraction form
    837.24/1,153.74 = 615.80/x
  3. Step 3: Cross multiply
    837.24x = 1,153.74 × 615.80
  4. Step 4: Simplify right side
    837.24x = 710,478.29
  5. Step 5: Solve for x
    x = 710,478.29/837.24
  6. Step 6: Final answer
    x = 848.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.