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Finding the Fourth Proportional to 926, 1,386.92 and 560.34

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Solution

The fourth proportional to 926, 1,386.92 and 560.34 is: 839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    926 : 1,386.92 = 560.34 : x
  2. Step 2: Convert to fraction form
    926/1,386.92 = 560.34/x
  3. Step 3: Cross multiply
    926x = 1,386.92 × 560.34
  4. Step 4: Simplify right side
    926x = 777,146.75
  5. Step 5: Solve for x
    x = 777,146.75/926
  6. Step 6: Final answer
    x = 839.25

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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.