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Finding the Fourth Proportional to 1,572.21, 2,357.58 and 476.37

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Solution

The fourth proportional to 1,572.21, 2,357.58 and 476.37 is: 714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.21 : 2,357.58 = 476.37 : x
  2. Step 2: Convert to fraction form
    1,572.21/2,357.58 = 476.37/x
  3. Step 3: Cross multiply
    1,572.21x = 2,357.58 × 476.37
  4. Step 4: Simplify right side
    1,572.21x = 1,123,080.38
  5. Step 5: Solve for x
    x = 1,123,080.38/1,572.21
  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.