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Finding the Fourth Proportional to 1,543.78, 2,316.58 and 570.57

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Solution

The fourth proportional to 1,543.78, 2,316.58 and 570.57 is: 856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.78 : 2,316.58 = 570.57 : x
  2. Step 2: Convert to fraction form
    1,543.78/2,316.58 = 570.57/x
  3. Step 3: Cross multiply
    1,543.78x = 2,316.58 × 570.57
  4. Step 4: Simplify right side
    1,543.78x = 1,321,771.05
  5. Step 5: Solve for x
    x = 1,321,771.05/1,543.78
  6. Step 6: Final answer
    x = 856.19

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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.