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Finding the Fourth Proportional to 914.74, 1,261.60 and 737.65

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Solution

The fourth proportional to 914.74, 1,261.60 and 737.65 is: 1,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.74 : 1,261.60 = 737.65 : x
  2. Step 2: Convert to fraction form
    914.74/1,261.60 = 737.65/x
  3. Step 3: Cross multiply
    914.74x = 1,261.60 × 737.65
  4. Step 4: Simplify right side
    914.74x = 930,614.24
  5. Step 5: Solve for x
    x = 930,614.24/914.74
  6. Step 6: Final answer
    x = 1,017.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.