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Finding the Fourth Proportional to 1,678.51, 2,515.54 and 753.90

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Solution

The fourth proportional to 1,678.51, 2,515.54 and 753.90 is: 1,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.51 : 2,515.54 = 753.90 : x
  2. Step 2: Convert to fraction form
    1,678.51/2,515.54 = 753.90/x
  3. Step 3: Cross multiply
    1,678.51x = 2,515.54 × 753.90
  4. Step 4: Simplify right side
    1,678.51x = 1,896,465.61
  5. Step 5: Solve for x
    x = 1,896,465.61/1,678.51
  6. Step 6: Final answer
    x = 1,129.85

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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.