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Finding the Fourth Proportional to 917.70, 1,377.54 and 370.26

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Solution

The fourth proportional to 917.70, 1,377.54 and 370.26 is: 555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.70 : 1,377.54 = 370.26 : x
  2. Step 2: Convert to fraction form
    917.70/1,377.54 = 370.26/x
  3. Step 3: Cross multiply
    917.70x = 1,377.54 × 370.26
  4. Step 4: Simplify right side
    917.70x = 510,047.96
  5. Step 5: Solve for x
    x = 510,047.96/917.70
  6. Step 6: Final answer
    x = 555.79

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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.