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Finding the Fourth Proportional to 1,543.90, 2,316.78 and 570.70

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Solution

The fourth proportional to 1,543.90, 2,316.78 and 570.70 is: 856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.90 : 2,316.78 = 570.70 : x
  2. Step 2: Convert to fraction form
    1,543.90/2,316.78 = 570.70/x
  3. Step 3: Cross multiply
    1,543.90x = 2,316.78 × 570.70
  4. Step 4: Simplify right side
    1,543.90x = 1,322,186.35
  5. Step 5: Solve for x
    x = 1,322,186.35/1,543.90
  6. Step 6: Final answer
    x = 856.39

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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.