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Finding the Fourth Proportional to 917.66, 1,377.05 and 765.47

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Solution

The fourth proportional to 917.66, 1,377.05 and 765.47 is: 1,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.66 : 1,377.05 = 765.47 : x
  2. Step 2: Convert to fraction form
    917.66/1,377.05 = 765.47/x
  3. Step 3: Cross multiply
    917.66x = 1,377.05 × 765.47
  4. Step 4: Simplify right side
    917.66x = 1,054,079.75
  5. Step 5: Solve for x
    x = 1,054,079.75/917.66
  6. Step 6: Final answer
    x = 1,148.67

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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.