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Finding the Fourth Proportional to 1,571.70, 2,357.89 and 476.15

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Solution

The fourth proportional to 1,571.70, 2,357.89 and 476.15 is: 714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.70 : 2,357.89 = 476.15 : x
  2. Step 2: Convert to fraction form
    1,571.70/2,357.89 = 476.15/x
  3. Step 3: Cross multiply
    1,571.70x = 2,357.89 × 476.15
  4. Step 4: Simplify right side
    1,571.70x = 1,122,718.92
  5. Step 5: Solve for x
    x = 1,122,718.92/1,571.70
  6. Step 6: Final answer
    x = 714.33

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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.