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Finding the Fourth Proportional to 1,156.50, 1,595.93 and 659.21

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Solution

The fourth proportional to 1,156.50, 1,595.93 and 659.21 is: 909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.50 : 1,595.93 = 659.21 : x
  2. Step 2: Convert to fraction form
    1,156.50/1,595.93 = 659.21/x
  3. Step 3: Cross multiply
    1,156.50x = 1,595.93 × 659.21
  4. Step 4: Simplify right side
    1,156.50x = 1,052,041.74
  5. Step 5: Solve for x
    x = 1,052,041.74/1,156.50
  6. Step 6: Final answer
    x = 909.68

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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.