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Finding the Fourth Proportional to 585, 877.85 and 325.22

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Solution

The fourth proportional to 585, 877.85 and 325.22 is: 488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 877.85 = 325.22 : x
  2. Step 2: Convert to fraction form
    585/877.85 = 325.22/x
  3. Step 3: Cross multiply
    585x = 877.85 × 325.22
  4. Step 4: Simplify right side
    585x = 285,488.36
  5. Step 5: Solve for x
    x = 285,488.36/585
  6. Step 6: Final answer
    x = 488.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.