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Finding the Fourth Proportional to 1,156.50, 1,596 and 690.84

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Solution

The fourth proportional to 1,156.50, 1,596 and 690.84 is: 953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.50 : 1,596 = 690.84 : x
  2. Step 2: Convert to fraction form
    1,156.50/1,596 = 690.84/x
  3. Step 3: Cross multiply
    1,156.50x = 1,596 × 690.84
  4. Step 4: Simplify right side
    1,156.50x = 1,102,580.64
  5. Step 5: Solve for x
    x = 1,102,580.64/1,156.50
  6. Step 6: Final answer
    x = 953.38

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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.