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Finding the Fourth Proportional to 1,156.84, 1,596.47 and 691

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Solution

The fourth proportional to 1,156.84, 1,596.47 and 691 is: 953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.84 : 1,596.47 = 691 : x
  2. Step 2: Convert to fraction form
    1,156.84/1,596.47 = 691/x
  3. Step 3: Cross multiply
    1,156.84x = 1,596.47 × 691
  4. Step 4: Simplify right side
    1,156.84x = 1,103,160.77
  5. Step 5: Solve for x
    x = 1,103,160.77/1,156.84
  6. Step 6: Final answer
    x = 953.60

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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.