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Finding the Fourth Proportional to 1,060.42, 1,590.63 and 444.55

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Solution

The fourth proportional to 1,060.42, 1,590.63 and 444.55 is: 666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.42 : 1,590.63 = 444.55 : x
  2. Step 2: Convert to fraction form
    1,060.42/1,590.63 = 444.55/x
  3. Step 3: Cross multiply
    1,060.42x = 1,590.63 × 444.55
  4. Step 4: Simplify right side
    1,060.42x = 707,114.57
  5. Step 5: Solve for x
    x = 707,114.57/1,060.42
  6. Step 6: Final answer
    x = 666.83

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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.