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Finding the Fourth Proportional to 1,248.25, 1,873.54 and 632.40

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Solution

The fourth proportional to 1,248.25, 1,873.54 and 632.40 is: 949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.25 : 1,873.54 = 632.40 : x
  2. Step 2: Convert to fraction form
    1,248.25/1,873.54 = 632.40/x
  3. Step 3: Cross multiply
    1,248.25x = 1,873.54 × 632.40
  4. Step 4: Simplify right side
    1,248.25x = 1,184,826.70
  5. Step 5: Solve for x
    x = 1,184,826.70/1,248.25
  6. Step 6: Final answer
    x = 949.19

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1.5x scale

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.