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Finding the Fourth Proportional to 615.42, 848.98 and 405.70

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Solution

The fourth proportional to 615.42, 848.98 and 405.70 is: 559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 848.98 = 405.70 : x
  2. Step 2: Convert to fraction form
    615.42/848.98 = 405.70/x
  3. Step 3: Cross multiply
    615.42x = 848.98 × 405.70
  4. Step 4: Simplify right side
    615.42x = 344,431.19
  5. Step 5: Solve for x
    x = 344,431.19/615.42
  6. Step 6: Final answer
    x = 559.67

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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.