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Finding the Fourth Proportional to 649.37, 977.60 and 591.98

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Solution

The fourth proportional to 649.37, 977.60 and 591.98 is: 891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.37 : 977.60 = 591.98 : x
  2. Step 2: Convert to fraction form
    649.37/977.60 = 591.98/x
  3. Step 3: Cross multiply
    649.37x = 977.60 × 591.98
  4. Step 4: Simplify right side
    649.37x = 578,711.80
  5. Step 5: Solve for x
    x = 578,711.80/649.37
  6. Step 6: Final answer
    x = 891.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.