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Finding the Fourth Proportional to 740.90, 1,111.14 and 498.71

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Solution

The fourth proportional to 740.90, 1,111.14 and 498.71 is: 747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.90 : 1,111.14 = 498.71 : x
  2. Step 2: Convert to fraction form
    740.90/1,111.14 = 498.71/x
  3. Step 3: Cross multiply
    740.90x = 1,111.14 × 498.71
  4. Step 4: Simplify right side
    740.90x = 554,131.07
  5. Step 5: Solve for x
    x = 554,131.07/740.90
  6. Step 6: Final answer
    x = 747.92

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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.