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Finding the Fourth Proportional to 590.13, 881.10 and 496.98

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Solution

The fourth proportional to 590.13, 881.10 and 496.98 is: 742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.13 : 881.10 = 496.98 : x
  2. Step 2: Convert to fraction form
    590.13/881.10 = 496.98/x
  3. Step 3: Cross multiply
    590.13x = 881.10 × 496.98
  4. Step 4: Simplify right side
    590.13x = 437,889.08
  5. Step 5: Solve for x
    x = 437,889.08/590.13
  6. Step 6: Final answer
    x = 742.02

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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.