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Finding the Fourth Proportional to 728.23, 1,004.48 and 503.77

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Solution

The fourth proportional to 728.23, 1,004.48 and 503.77 is: 694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.23 : 1,004.48 = 503.77 : x
  2. Step 2: Convert to fraction form
    728.23/1,004.48 = 503.77/x
  3. Step 3: Cross multiply
    728.23x = 1,004.48 × 503.77
  4. Step 4: Simplify right side
    728.23x = 506,026.89
  5. Step 5: Solve for x
    x = 506,026.89/728.23
  6. Step 6: Final answer
    x = 694.87

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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.