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Finding the Fourth Proportional to 655.32, 977.91 and 582.60

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Solution

The fourth proportional to 655.32, 977.91 and 582.60 is: 869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.32 : 977.91 = 582.60 : x
  2. Step 2: Convert to fraction form
    655.32/977.91 = 582.60/x
  3. Step 3: Cross multiply
    655.32x = 977.91 × 582.60
  4. Step 4: Simplify right side
    655.32x = 569,730.37
  5. Step 5: Solve for x
    x = 569,730.37/655.32
  6. Step 6: Final answer
    x = 869.39

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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.