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Finding the Fourth Proportional to 1,248.45, 1,873.08 and 1,064.74

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Solution

The fourth proportional to 1,248.45, 1,873.08 and 1,064.74 is: 1,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.45 : 1,873.08 = 1,064.74 : x
  2. Step 2: Convert to fraction form
    1,248.45/1,873.08 = 1,064.74/x
  3. Step 3: Cross multiply
    1,248.45x = 1,873.08 × 1,064.74
  4. Step 4: Simplify right side
    1,248.45x = 1,994,343.20
  5. Step 5: Solve for x
    x = 1,994,343.20/1,248.45
  6. Step 6: Final answer
    x = 1,597.46

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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.