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Finding the Fourth Proportional to 953.62, 1,314.59 and 820.24

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Solution

The fourth proportional to 953.62, 1,314.59 and 820.24 is: 1,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.62 : 1,314.59 = 820.24 : x
  2. Step 2: Convert to fraction form
    953.62/1,314.59 = 820.24/x
  3. Step 3: Cross multiply
    953.62x = 1,314.59 × 820.24
  4. Step 4: Simplify right side
    953.62x = 1,078,279.30
  5. Step 5: Solve for x
    x = 1,078,279.30/953.62
  6. Step 6: Final answer
    x = 1,130.72

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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.