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Finding the Fourth Proportional to 1,543.20, 2,315.88 and 678.12

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Solution

The fourth proportional to 1,543.20, 2,315.88 and 678.12 is: 1,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.20 : 2,315.88 = 678.12 : x
  2. Step 2: Convert to fraction form
    1,543.20/2,315.88 = 678.12/x
  3. Step 3: Cross multiply
    1,543.20x = 2,315.88 × 678.12
  4. Step 4: Simplify right side
    1,543.20x = 1,570,444.55
  5. Step 5: Solve for x
    x = 1,570,444.55/1,543.20
  6. Step 6: Final answer
    x = 1,017.65

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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.