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Finding the Fourth Proportional to 1,547.87, 2,322.20 and 560.78

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Solution

The fourth proportional to 1,547.87, 2,322.20 and 560.78 is: 841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.87 : 2,322.20 = 560.78 : x
  2. Step 2: Convert to fraction form
    1,547.87/2,322.20 = 560.78/x
  3. Step 3: Cross multiply
    1,547.87x = 2,322.20 × 560.78
  4. Step 4: Simplify right side
    1,547.87x = 1,302,243.32
  5. Step 5: Solve for x
    x = 1,302,243.32/1,547.87
  6. Step 6: Final answer
    x = 841.31

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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.