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Finding the Fourth Proportional to 1,258.94, 1,887.96 and 437

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Solution

The fourth proportional to 1,258.94, 1,887.96 and 437 is: 655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.94 : 1,887.96 = 437 : x
  2. Step 2: Convert to fraction form
    1,258.94/1,887.96 = 437/x
  3. Step 3: Cross multiply
    1,258.94x = 1,887.96 × 437
  4. Step 4: Simplify right side
    1,258.94x = 825,038.52
  5. Step 5: Solve for x
    x = 825,038.52/1,258.94
  6. Step 6: Final answer
    x = 655.34

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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.