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Finding the Fourth Proportional to 740.42, 1,020.64 and 553.64

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Solution

The fourth proportional to 740.42, 1,020.64 and 553.64 is: 763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.42 : 1,020.64 = 553.64 : x
  2. Step 2: Convert to fraction form
    740.42/1,020.64 = 553.64/x
  3. Step 3: Cross multiply
    740.42x = 1,020.64 × 553.64
  4. Step 4: Simplify right side
    740.42x = 565,067.13
  5. Step 5: Solve for x
    x = 565,067.13/740.42
  6. Step 6: Final answer
    x = 763.17

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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.