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Finding the Fourth Proportional to 587.61, 884.37 and 442.12

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Solution

The fourth proportional to 587.61, 884.37 and 442.12 is: 665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.61 : 884.37 = 442.12 : x
  2. Step 2: Convert to fraction form
    587.61/884.37 = 442.12/x
  3. Step 3: Cross multiply
    587.61x = 884.37 × 442.12
  4. Step 4: Simplify right side
    587.61x = 390,991.03
  5. Step 5: Solve for x
    x = 390,991.03/587.61
  6. Step 6: Final answer
    x = 665.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.