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Finding the Fourth Proportional to 1,156.41, 1,595.89 and 632.44

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Solution

The fourth proportional to 1,156.41, 1,595.89 and 632.44 is: 872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.41 : 1,595.89 = 632.44 : x
  2. Step 2: Convert to fraction form
    1,156.41/1,595.89 = 632.44/x
  3. Step 3: Cross multiply
    1,156.41x = 1,595.89 × 632.44
  4. Step 4: Simplify right side
    1,156.41x = 1,009,307.93
  5. Step 5: Solve for x
    x = 1,009,307.93/1,156.41
  6. Step 6: Final answer
    x = 872.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.