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Finding the Fourth Proportional to 615.40, 848.98 and 428.59

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Solution

The fourth proportional to 615.40, 848.98 and 428.59 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.40 : 848.98 = 428.59 : x
  2. Step 2: Convert to fraction form
    615.40/848.98 = 428.59/x
  3. Step 3: Cross multiply
    615.40x = 848.98 × 428.59
  4. Step 4: Simplify right side
    615.40x = 363,865.94
  5. Step 5: Solve for x
    x = 363,865.94/615.40
  6. Step 6: Final answer
    x = 591.27

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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.