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Finding the Fourth Proportional to 462.54, 697.08 and 435.18

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Solution

The fourth proportional to 462.54, 697.08 and 435.18 is: 655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 697.08 = 435.18 : x
  2. Step 2: Convert to fraction form
    462.54/697.08 = 435.18/x
  3. Step 3: Cross multiply
    462.54x = 697.08 × 435.18
  4. Step 4: Simplify right side
    462.54x = 303,355.27
  5. Step 5: Solve for x
    x = 303,355.27/462.54
  6. Step 6: Final answer
    x = 655.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.