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Finding the Fourth Proportional to 587.34, 880.08 and 424.32

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Solution

The fourth proportional to 587.34, 880.08 and 424.32 is: 635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.34 : 880.08 = 424.32 : x
  2. Step 2: Convert to fraction form
    587.34/880.08 = 424.32/x
  3. Step 3: Cross multiply
    587.34x = 880.08 × 424.32
  4. Step 4: Simplify right side
    587.34x = 373,435.55
  5. Step 5: Solve for x
    x = 373,435.55/587.34
  6. Step 6: Final answer
    x = 635.81

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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.