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Finding the Fourth Proportional to 458.46, 691.65 and 435.69

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Solution

The fourth proportional to 458.46, 691.65 and 435.69 is: 657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 691.65 = 435.69 : x
  2. Step 2: Convert to fraction form
    458.46/691.65 = 435.69/x
  3. Step 3: Cross multiply
    458.46x = 691.65 × 435.69
  4. Step 4: Simplify right side
    458.46x = 301,344.99
  5. Step 5: Solve for x
    x = 301,344.99/458.46
  6. Step 6: Final answer
    x = 657.30

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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.