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Finding the Fourth Proportional to 1,495.02, 2,242.54 and 521.13

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Solution

The fourth proportional to 1,495.02, 2,242.54 and 521.13 is: 781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.02 : 2,242.54 = 521.13 : x
  2. Step 2: Convert to fraction form
    1,495.02/2,242.54 = 521.13/x
  3. Step 3: Cross multiply
    1,495.02x = 2,242.54 × 521.13
  4. Step 4: Simplify right side
    1,495.02x = 1,168,654.87
  5. Step 5: Solve for x
    x = 1,168,654.87/1,495.02
  6. Step 6: Final answer
    x = 781.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.