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Finding the Fourth Proportional to 753.83, 1,130.69 and 444.71

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Solution

The fourth proportional to 753.83, 1,130.69 and 444.71 is: 667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.83 : 1,130.69 = 444.71 : x
  2. Step 2: Convert to fraction form
    753.83/1,130.69 = 444.71/x
  3. Step 3: Cross multiply
    753.83x = 1,130.69 × 444.71
  4. Step 4: Simplify right side
    753.83x = 502,821.27
  5. Step 5: Solve for x
    x = 502,821.27/753.83
  6. Step 6: Final answer
    x = 667.03

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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.