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Finding the Fourth Proportional to 582.72, 803.21 and 535.04

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Solution

The fourth proportional to 582.72, 803.21 and 535.04 is: 737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.72 : 803.21 = 535.04 : x
  2. Step 2: Convert to fraction form
    582.72/803.21 = 535.04/x
  3. Step 3: Cross multiply
    582.72x = 803.21 × 535.04
  4. Step 4: Simplify right side
    582.72x = 429,749.48
  5. Step 5: Solve for x
    x = 429,749.48/582.72
  6. Step 6: Final answer
    x = 737.49

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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.