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Finding the Fourth Proportional to 1,557.42, 2,335.86 and 461.52

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Solution

The fourth proportional to 1,557.42, 2,335.86 and 461.52 is: 692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.42 : 2,335.86 = 461.52 : x
  2. Step 2: Convert to fraction form
    1,557.42/2,335.86 = 461.52/x
  3. Step 3: Cross multiply
    1,557.42x = 2,335.86 × 461.52
  4. Step 4: Simplify right side
    1,557.42x = 1,078,046.11
  5. Step 5: Solve for x
    x = 1,078,046.11/1,557.42
  6. Step 6: Final answer
    x = 692.20

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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.