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Finding the Fourth Proportional to 1,248.90, 1,722.83 and 953.66

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Solution

The fourth proportional to 1,248.90, 1,722.83 and 953.66 is: 1,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.90 : 1,722.83 = 953.66 : x
  2. Step 2: Convert to fraction form
    1,248.90/1,722.83 = 953.66/x
  3. Step 3: Cross multiply
    1,248.90x = 1,722.83 × 953.66
  4. Step 4: Simplify right side
    1,248.90x = 1,642,994.06
  5. Step 5: Solve for x
    x = 1,642,994.06/1,248.90
  6. Step 6: Final answer
    x = 1,315.55

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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.