Home / 1,566.86-2,350.58-471.20

Finding the Fourth Proportional to 1,566.86, 2,350.58 and 471.20

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Solution

The fourth proportional to 1,566.86, 2,350.58 and 471.20 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.86 : 2,350.58 = 471.20 : x
  2. Step 2: Convert to fraction form
    1,566.86/2,350.58 = 471.20/x
  3. Step 3: Cross multiply
    1,566.86x = 2,350.58 × 471.20
  4. Step 4: Simplify right side
    1,566.86x = 1,107,593.30
  5. Step 5: Solve for x
    x = 1,107,593.30/1,566.86
  6. Step 6: Final answer
    x = 706.89

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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.