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Finding the Fourth Proportional to 1,156.35, 1,595.75 and 632.38

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Solution

The fourth proportional to 1,156.35, 1,595.75 and 632.38 is: 872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.35 : 1,595.75 = 632.38 : x
  2. Step 2: Convert to fraction form
    1,156.35/1,595.75 = 632.38/x
  3. Step 3: Cross multiply
    1,156.35x = 1,595.75 × 632.38
  4. Step 4: Simplify right side
    1,156.35x = 1,009,120.39
  5. Step 5: Solve for x
    x = 1,009,120.39/1,156.35
  6. Step 6: Final answer
    x = 872.68

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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.