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Finding the Fourth Proportional to 538.34, 803.13 and 479.52

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Solution

The fourth proportional to 538.34, 803.13 and 479.52 is: 715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.34 : 803.13 = 479.52 : x
  2. Step 2: Convert to fraction form
    538.34/803.13 = 479.52/x
  3. Step 3: Cross multiply
    538.34x = 803.13 × 479.52
  4. Step 4: Simplify right side
    538.34x = 385,115.10
  5. Step 5: Solve for x
    x = 385,115.10/538.34
  6. Step 6: Final answer
    x = 715.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.