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Finding the Fourth Proportional to 1,307.86, 1,961.80 and 442.16

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Solution

The fourth proportional to 1,307.86, 1,961.80 and 442.16 is: 663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.86 : 1,961.80 = 442.16 : x
  2. Step 2: Convert to fraction form
    1,307.86/1,961.80 = 442.16/x
  3. Step 3: Cross multiply
    1,307.86x = 1,961.80 × 442.16
  4. Step 4: Simplify right side
    1,307.86x = 867,429.49
  5. Step 5: Solve for x
    x = 867,429.49/1,307.86
  6. Step 6: Final answer
    x = 663.24

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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.