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Finding the Fourth Proportional to 1,578.42, 2,178.59 and 915.66

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Solution

The fourth proportional to 1,578.42, 2,178.59 and 915.66 is: 1,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.42 : 2,178.59 = 915.66 : x
  2. Step 2: Convert to fraction form
    1,578.42/2,178.59 = 915.66/x
  3. Step 3: Cross multiply
    1,578.42x = 2,178.59 × 915.66
  4. Step 4: Simplify right side
    1,578.42x = 1,994,843.14
  5. Step 5: Solve for x
    x = 1,994,843.14/1,578.42
  6. Step 6: Final answer
    x = 1,263.82

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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.