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Finding the Fourth Proportional to 871.91, 1,307.93 and 384.97

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Solution

The fourth proportional to 871.91, 1,307.93 and 384.97 is: 577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.91 : 1,307.93 = 384.97 : x
  2. Step 2: Convert to fraction form
    871.91/1,307.93 = 384.97/x
  3. Step 3: Cross multiply
    871.91x = 1,307.93 × 384.97
  4. Step 4: Simplify right side
    871.91x = 503,513.24
  5. Step 5: Solve for x
    x = 503,513.24/871.91
  6. Step 6: Final answer
    x = 577.48

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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.