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Finding the Fourth Proportional to 1,060.64, 1,590.72 and 291.20

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Solution

The fourth proportional to 1,060.64, 1,590.72 and 291.20 is: 436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.64 : 1,590.72 = 291.20 : x
  2. Step 2: Convert to fraction form
    1,060.64/1,590.72 = 291.20/x
  3. Step 3: Cross multiply
    1,060.64x = 1,590.72 × 291.20
  4. Step 4: Simplify right side
    1,060.64x = 463,217.66
  5. Step 5: Solve for x
    x = 463,217.66/1,060.64
  6. Step 6: Final answer
    x = 436.73

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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.