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Finding the Fourth Proportional to 614.45, 915.45 and 583.46

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Solution

The fourth proportional to 614.45, 915.45 and 583.46 is: 869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.45 : 915.45 = 583.46 : x
  2. Step 2: Convert to fraction form
    614.45/915.45 = 583.46/x
  3. Step 3: Cross multiply
    614.45x = 915.45 × 583.46
  4. Step 4: Simplify right side
    614.45x = 534,125.54
  5. Step 5: Solve for x
    x = 534,125.54/614.45
  6. Step 6: Final answer
    x = 869.28

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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.