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Finding the Fourth Proportional to 1,557.31, 2,335.72 and 570.03

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Solution

The fourth proportional to 1,557.31, 2,335.72 and 570.03 is: 854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.31 : 2,335.72 = 570.03 : x
  2. Step 2: Convert to fraction form
    1,557.31/2,335.72 = 570.03/x
  3. Step 3: Cross multiply
    1,557.31x = 2,335.72 × 570.03
  4. Step 4: Simplify right side
    1,557.31x = 1,331,430.47
  5. Step 5: Solve for x
    x = 1,331,430.47/1,557.31
  6. Step 6: Final answer
    x = 854.96

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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.