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Finding the Fourth Proportional to 871.81, 1,307.71 and 384.86

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Solution

The fourth proportional to 871.81, 1,307.71 and 384.86 is: 577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.81 : 1,307.71 = 384.86 : x
  2. Step 2: Convert to fraction form
    871.81/1,307.71 = 384.86/x
  3. Step 3: Cross multiply
    871.81x = 1,307.71 × 384.86
  4. Step 4: Simplify right side
    871.81x = 503,289.02
  5. Step 5: Solve for x
    x = 503,289.02/871.81
  6. Step 6: Final answer
    x = 577.29

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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.