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Finding the Fourth Proportional to 897.60, 1,349.10 and 778.80

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Solution

The fourth proportional to 897.60, 1,349.10 and 778.80 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.60 : 1,349.10 = 778.80 : x
  2. Step 2: Convert to fraction form
    897.60/1,349.10 = 778.80/x
  3. Step 3: Cross multiply
    897.60x = 1,349.10 × 778.80
  4. Step 4: Simplify right side
    897.60x = 1,050,679.08
  5. Step 5: Solve for x
    x = 1,050,679.08/897.60
  6. Step 6: Final answer
    x = 1,170.54

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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.