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Finding the Fourth Proportional to 1,543.19, 2,314.58 and 568.55

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Solution

The fourth proportional to 1,543.19, 2,314.58 and 568.55 is: 852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.19 : 2,314.58 = 568.55 : x
  2. Step 2: Convert to fraction form
    1,543.19/2,314.58 = 568.55/x
  3. Step 3: Cross multiply
    1,543.19x = 2,314.58 × 568.55
  4. Step 4: Simplify right side
    1,543.19x = 1,315,957.40
  5. Step 5: Solve for x
    x = 1,315,957.40/1,543.19
  6. Step 6: Final answer
    x = 852.75

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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.