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Finding the Fourth Proportional to 584.67, 876.16 and 399.40

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Solution

The fourth proportional to 584.67, 876.16 and 399.40 is: 598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.67 : 876.16 = 399.40 : x
  2. Step 2: Convert to fraction form
    584.67/876.16 = 399.40/x
  3. Step 3: Cross multiply
    584.67x = 876.16 × 399.40
  4. Step 4: Simplify right side
    584.67x = 349,938.30
  5. Step 5: Solve for x
    x = 349,938.30/584.67
  6. Step 6: Final answer
    x = 598.52

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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.