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Finding the Fourth Proportional to 740.59, 1,115.91 and 613.42

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Solution

The fourth proportional to 740.59, 1,115.91 and 613.42 is: 924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.59 : 1,115.91 = 613.42 : x
  2. Step 2: Convert to fraction form
    740.59/1,115.91 = 613.42/x
  3. Step 3: Cross multiply
    740.59x = 1,115.91 × 613.42
  4. Step 4: Simplify right side
    740.59x = 684,521.51
  5. Step 5: Solve for x
    x = 684,521.51/740.59
  6. Step 6: Final answer
    x = 924.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.