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Finding the Fourth Proportional to 1,547.64, 2,321.84 and 452.02

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Solution

The fourth proportional to 1,547.64, 2,321.84 and 452.02 is: 678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.64 : 2,321.84 = 452.02 : x
  2. Step 2: Convert to fraction form
    1,547.64/2,321.84 = 452.02/x
  3. Step 3: Cross multiply
    1,547.64x = 2,321.84 × 452.02
  4. Step 4: Simplify right side
    1,547.64x = 1,049,518.12
  5. Step 5: Solve for x
    x = 1,049,518.12/1,547.64
  6. Step 6: Final answer
    x = 678.14

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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.