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Finding the Fourth Proportional to 1,258.08, 1,887.12 and 517.53

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Solution

The fourth proportional to 1,258.08, 1,887.12 and 517.53 is: 776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.08 : 1,887.12 = 517.53 : x
  2. Step 2: Convert to fraction form
    1,258.08/1,887.12 = 517.53/x
  3. Step 3: Cross multiply
    1,258.08x = 1,887.12 × 517.53
  4. Step 4: Simplify right side
    1,258.08x = 976,641.21
  5. Step 5: Solve for x
    x = 976,641.21/1,258.08
  6. Step 6: Final answer
    x = 776.30

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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.