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Finding the Fourth Proportional to 909.25, 1,357.67 and 746.53

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Solution

The fourth proportional to 909.25, 1,357.67 and 746.53 is: 1,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.25 : 1,357.67 = 746.53 : x
  2. Step 2: Convert to fraction form
    909.25/1,357.67 = 746.53/x
  3. Step 3: Cross multiply
    909.25x = 1,357.67 × 746.53
  4. Step 4: Simplify right side
    909.25x = 1,013,537.65
  5. Step 5: Solve for x
    x = 1,013,537.65/909.25
  6. Step 6: Final answer
    x = 1,114.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.