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Finding the Fourth Proportional to 660.66, 986.35 and 591.40

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Solution

The fourth proportional to 660.66, 986.35 and 591.40 is: 882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.66 : 986.35 = 591.40 : x
  2. Step 2: Convert to fraction form
    660.66/986.35 = 591.40/x
  3. Step 3: Cross multiply
    660.66x = 986.35 × 591.40
  4. Step 4: Simplify right side
    660.66x = 583,329.92
  5. Step 5: Solve for x
    x = 583,329.92/660.66
  6. Step 6: Final answer
    x = 882.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.