Home / 1,567.24-2,350.53-471.71

Finding the Fourth Proportional to 1,567.24, 2,350.53 and 471.71

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Solution

The fourth proportional to 1,567.24, 2,350.53 and 471.71 is: 707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.24 : 2,350.53 = 471.71 : x
  2. Step 2: Convert to fraction form
    1,567.24/2,350.53 = 471.71/x
  3. Step 3: Cross multiply
    1,567.24x = 2,350.53 × 471.71
  4. Step 4: Simplify right side
    1,567.24x = 1,108,774.38
  5. Step 5: Solve for x
    x = 1,108,774.38/1,567.24
  6. Step 6: Final answer
    x = 707.47

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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.