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Finding the Fourth Proportional to 1,557.74, 2,335.98 and 633.76

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Solution

The fourth proportional to 1,557.74, 2,335.98 and 633.76 is: 950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.74 : 2,335.98 = 633.76 : x
  2. Step 2: Convert to fraction form
    1,557.74/2,335.98 = 633.76/x
  3. Step 3: Cross multiply
    1,557.74x = 2,335.98 × 633.76
  4. Step 4: Simplify right side
    1,557.74x = 1,480,450.68
  5. Step 5: Solve for x
    x = 1,480,450.68/1,557.74
  6. Step 6: Final answer
    x = 950.38

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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.