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Finding the Fourth Proportional to 1,156.97, 1,596.64 and 632.99

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Solution

The fourth proportional to 1,156.97, 1,596.64 and 632.99 is: 873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.97 : 1,596.64 = 632.99 : x
  2. Step 2: Convert to fraction form
    1,156.97/1,596.64 = 632.99/x
  3. Step 3: Cross multiply
    1,156.97x = 1,596.64 × 632.99
  4. Step 4: Simplify right side
    1,156.97x = 1,010,657.15
  5. Step 5: Solve for x
    x = 1,010,657.15/1,156.97
  6. Step 6: Final answer
    x = 873.54

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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.