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Finding the Fourth Proportional to 915.35, 1,262.18 and 583.25

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Solution

The fourth proportional to 915.35, 1,262.18 and 583.25 is: 804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.35 : 1,262.18 = 583.25 : x
  2. Step 2: Convert to fraction form
    915.35/1,262.18 = 583.25/x
  3. Step 3: Cross multiply
    915.35x = 1,262.18 × 583.25
  4. Step 4: Simplify right side
    915.35x = 736,163.57
  5. Step 5: Solve for x
    x = 736,163.57/915.35
  6. Step 6: Final answer
    x = 804.24

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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.