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Finding the Fourth Proportional to 459.17, 689.36 and 420.97

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Solution

The fourth proportional to 459.17, 689.36 and 420.97 is: 632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.17 : 689.36 = 420.97 : x
  2. Step 2: Convert to fraction form
    459.17/689.36 = 420.97/x
  3. Step 3: Cross multiply
    459.17x = 689.36 × 420.97
  4. Step 4: Simplify right side
    459.17x = 290,197.48
  5. Step 5: Solve for x
    x = 290,197.48/459.17
  6. Step 6: Final answer
    x = 632.00

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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.