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Finding the Fourth Proportional to 740.53, 1,110.81 and 567.51

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Solution

The fourth proportional to 740.53, 1,110.81 and 567.51 is: 851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.53 : 1,110.81 = 567.51 : x
  2. Step 2: Convert to fraction form
    740.53/1,110.81 = 567.51/x
  3. Step 3: Cross multiply
    740.53x = 1,110.81 × 567.51
  4. Step 4: Simplify right side
    740.53x = 630,397.91
  5. Step 5: Solve for x
    x = 630,397.91/740.53
  6. Step 6: Final answer
    x = 851.28

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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.