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Finding the Fourth Proportional to 869.24, 1,301.70 and 543.64

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Solution

The fourth proportional to 869.24, 1,301.70 and 543.64 is: 814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.24 : 1,301.70 = 543.64 : x
  2. Step 2: Convert to fraction form
    869.24/1,301.70 = 543.64/x
  3. Step 3: Cross multiply
    869.24x = 1,301.70 × 543.64
  4. Step 4: Simplify right side
    869.24x = 707,656.19
  5. Step 5: Solve for x
    x = 707,656.19/869.24
  6. Step 6: Final answer
    x = 814.11

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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.