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Finding the Fourth Proportional to 1,547.76, 2,321.75 and 452.15

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Solution

The fourth proportional to 1,547.76, 2,321.75 and 452.15 is: 678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.76 : 2,321.75 = 452.15 : x
  2. Step 2: Convert to fraction form
    1,547.76/2,321.75 = 452.15/x
  3. Step 3: Cross multiply
    1,547.76x = 2,321.75 × 452.15
  4. Step 4: Simplify right side
    1,547.76x = 1,049,779.26
  5. Step 5: Solve for x
    x = 1,049,779.26/1,547.76
  6. Step 6: Final answer
    x = 678.26

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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.