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Finding the Fourth Proportional to 926.70, 1,388.49 and 560.37

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Solution

The fourth proportional to 926.70, 1,388.49 and 560.37 is: 839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.70 : 1,388.49 = 560.37 : x
  2. Step 2: Convert to fraction form
    926.70/1,388.49 = 560.37/x
  3. Step 3: Cross multiply
    926.70x = 1,388.49 × 560.37
  4. Step 4: Simplify right side
    926.70x = 778,068.14
  5. Step 5: Solve for x
    x = 778,068.14/926.70
  6. Step 6: Final answer
    x = 839.61

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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.