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Finding the Fourth Proportional to 1,061.68, 1,590.26 and 855.14

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Solution

The fourth proportional to 1,061.68, 1,590.26 and 855.14 is: 1,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.68 : 1,590.26 = 855.14 : x
  2. Step 2: Convert to fraction form
    1,061.68/1,590.26 = 855.14/x
  3. Step 3: Cross multiply
    1,061.68x = 1,590.26 × 855.14
  4. Step 4: Simplify right side
    1,061.68x = 1,359,894.94
  5. Step 5: Solve for x
    x = 1,359,894.94/1,061.68
  6. Step 6: Final answer
    x = 1,280.89

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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.