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Finding the Fourth Proportional to 538.83, 742.10 and 503.19

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Solution

The fourth proportional to 538.83, 742.10 and 503.19 is: 693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.83 : 742.10 = 503.19 : x
  2. Step 2: Convert to fraction form
    538.83/742.10 = 503.19/x
  3. Step 3: Cross multiply
    538.83x = 742.10 × 503.19
  4. Step 4: Simplify right side
    538.83x = 373,414.78
  5. Step 5: Solve for x
    x = 373,414.78/538.83
  6. Step 6: Final answer
    x = 693.01

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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.