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Finding the Fourth Proportional to 587.38, 880.65 and 356.33

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Solution

The fourth proportional to 587.38, 880.65 and 356.33 is: 534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.38 : 880.65 = 356.33 : x
  2. Step 2: Convert to fraction form
    587.38/880.65 = 356.33/x
  3. Step 3: Cross multiply
    587.38x = 880.65 × 356.33
  4. Step 4: Simplify right side
    587.38x = 313,802.01
  5. Step 5: Solve for x
    x = 313,802.01/587.38
  6. Step 6: Final answer
    x = 534.24

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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.