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Finding the Fourth Proportional to 1,050.06, 1,449.12 and 630.48

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Solution

The fourth proportional to 1,050.06, 1,449.12 and 630.48 is: 870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.06 : 1,449.12 = 630.48 : x
  2. Step 2: Convert to fraction form
    1,050.06/1,449.12 = 630.48/x
  3. Step 3: Cross multiply
    1,050.06x = 1,449.12 × 630.48
  4. Step 4: Simplify right side
    1,050.06x = 913,641.18
  5. Step 5: Solve for x
    x = 913,641.18/1,050.06
  6. Step 6: Final answer
    x = 870.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.