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Finding the Fourth Proportional to 676.50, 932.55 and 582.75

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Solution

The fourth proportional to 676.50, 932.55 and 582.75 is: 803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.50 : 932.55 = 582.75 : x
  2. Step 2: Convert to fraction form
    676.50/932.55 = 582.75/x
  3. Step 3: Cross multiply
    676.50x = 932.55 × 582.75
  4. Step 4: Simplify right side
    676.50x = 543,443.51
  5. Step 5: Solve for x
    x = 543,443.51/676.50
  6. Step 6: Final answer
    x = 803.32

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1.5x scale

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.