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Finding the Fourth Proportional to 935.54, 1,402.18 and 414.42

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Solution

The fourth proportional to 935.54, 1,402.18 and 414.42 is: 621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.54 : 1,402.18 = 414.42 : x
  2. Step 2: Convert to fraction form
    935.54/1,402.18 = 414.42/x
  3. Step 3: Cross multiply
    935.54x = 1,402.18 × 414.42
  4. Step 4: Simplify right side
    935.54x = 581,089.36
  5. Step 5: Solve for x
    x = 581,089.36/935.54
  6. Step 6: Final answer
    x = 621.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.