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Finding the Fourth Proportional to 1,135.85, 1,564.68 and 970.61

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Solution

The fourth proportional to 1,135.85, 1,564.68 and 970.61 is: 1,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.85 : 1,564.68 = 970.61 : x
  2. Step 2: Convert to fraction form
    1,135.85/1,564.68 = 970.61/x
  3. Step 3: Cross multiply
    1,135.85x = 1,564.68 × 970.61
  4. Step 4: Simplify right side
    1,135.85x = 1,518,694.05
  5. Step 5: Solve for x
    x = 1,518,694.05/1,135.85
  6. Step 6: Final answer
    x = 1,337.06

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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.