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Finding the Fourth Proportional to 1,156.32, 1,595.70 and 632.34

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Solution

The fourth proportional to 1,156.32, 1,595.70 and 632.34 is: 872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.32 : 1,595.70 = 632.34 : x
  2. Step 2: Convert to fraction form
    1,156.32/1,595.70 = 632.34/x
  3. Step 3: Cross multiply
    1,156.32x = 1,595.70 × 632.34
  4. Step 4: Simplify right side
    1,156.32x = 1,009,024.94
  5. Step 5: Solve for x
    x = 1,009,024.94/1,156.32
  6. Step 6: Final answer
    x = 872.62

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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.