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Finding the Fourth Proportional to 740.30, 1,112.10 and 618.80

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Solution

The fourth proportional to 740.30, 1,112.10 and 618.80 is: 929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.30 : 1,112.10 = 618.80 : x
  2. Step 2: Convert to fraction form
    740.30/1,112.10 = 618.80/x
  3. Step 3: Cross multiply
    740.30x = 1,112.10 × 618.80
  4. Step 4: Simplify right side
    740.30x = 688,167.48
  5. Step 5: Solve for x
    x = 688,167.48/740.30
  6. Step 6: Final answer
    x = 929.58

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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.