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Finding the Fourth Proportional to 750.46, 1,035.42 and 470.98

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Solution

The fourth proportional to 750.46, 1,035.42 and 470.98 is: 649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.46 : 1,035.42 = 470.98 : x
  2. Step 2: Convert to fraction form
    750.46/1,035.42 = 470.98/x
  3. Step 3: Cross multiply
    750.46x = 1,035.42 × 470.98
  4. Step 4: Simplify right side
    750.46x = 487,662.11
  5. Step 5: Solve for x
    x = 487,662.11/750.46
  6. Step 6: Final answer
    x = 649.82

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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.