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Finding the Fourth Proportional to 1,060.90, 1,590.67 and 783.42

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Solution

The fourth proportional to 1,060.90, 1,590.67 and 783.42 is: 1,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.90 : 1,590.67 = 783.42 : x
  2. Step 2: Convert to fraction form
    1,060.90/1,590.67 = 783.42/x
  3. Step 3: Cross multiply
    1,060.90x = 1,590.67 × 783.42
  4. Step 4: Simplify right side
    1,060.90x = 1,246,162.69
  5. Step 5: Solve for x
    x = 1,246,162.69/1,060.90
  6. Step 6: Final answer
    x = 1,174.63

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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.