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Finding the Fourth Proportional to 915.14, 1,262.40 and 583.40

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Solution

The fourth proportional to 915.14, 1,262.40 and 583.40 is: 804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.14 : 1,262.40 = 583.40 : x
  2. Step 2: Convert to fraction form
    915.14/1,262.40 = 583.40/x
  3. Step 3: Cross multiply
    915.14x = 1,262.40 × 583.40
  4. Step 4: Simplify right side
    915.14x = 736,484.16
  5. Step 5: Solve for x
    x = 736,484.16/915.14
  6. Step 6: Final answer
    x = 804.78

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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.