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Finding the Fourth Proportional to 1,547.89, 2,321.57 and 508.64

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Solution

The fourth proportional to 1,547.89, 2,321.57 and 508.64 is: 762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.89 : 2,321.57 = 508.64 : x
  2. Step 2: Convert to fraction form
    1,547.89/2,321.57 = 508.64/x
  3. Step 3: Cross multiply
    1,547.89x = 2,321.57 × 508.64
  4. Step 4: Simplify right side
    1,547.89x = 1,180,833.03
  5. Step 5: Solve for x
    x = 1,180,833.03/1,547.89
  6. Step 6: Final answer
    x = 762.87

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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.