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Finding the Fourth Proportional to 750.55, 1,035.40 and 470.64

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Solution

The fourth proportional to 750.55, 1,035.40 and 470.64 is: 649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.55 : 1,035.40 = 470.64 : x
  2. Step 2: Convert to fraction form
    750.55/1,035.40 = 470.64/x
  3. Step 3: Cross multiply
    750.55x = 1,035.40 × 470.64
  4. Step 4: Simplify right side
    750.55x = 487,304.24
  5. Step 5: Solve for x
    x = 487,304.24/750.55
  6. Step 6: Final answer
    x = 649.26

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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.