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Finding the Fourth Proportional to 917.86, 1,376.80 and 704.02

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Solution

The fourth proportional to 917.86, 1,376.80 and 704.02 is: 1,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.86 : 1,376.80 = 704.02 : x
  2. Step 2: Convert to fraction form
    917.86/1,376.80 = 704.02/x
  3. Step 3: Cross multiply
    917.86x = 1,376.80 × 704.02
  4. Step 4: Simplify right side
    917.86x = 969,294.74
  5. Step 5: Solve for x
    x = 969,294.74/917.86
  6. Step 6: Final answer
    x = 1,056.04

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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.