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Finding the Fourth Proportional to 1,547.74, 2,321.46 and 507.43

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Solution

The fourth proportional to 1,547.74, 2,321.46 and 507.43 is: 761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.74 : 2,321.46 = 507.43 : x
  2. Step 2: Convert to fraction form
    1,547.74/2,321.46 = 507.43/x
  3. Step 3: Cross multiply
    1,547.74x = 2,321.46 × 507.43
  4. Step 4: Simplify right side
    1,547.74x = 1,177,978.45
  5. Step 5: Solve for x
    x = 1,177,978.45/1,547.74
  6. Step 6: Final answer
    x = 761.10

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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.