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Finding the Fourth Proportional to 459.67, 689.50 and 113.00

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Solution

The fourth proportional to 459.67, 689.50 and 113.00 is: 169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.67 : 689.50 = 113.00 : x
  2. Step 2: Convert to fraction form
    459.67/689.50 = 113.00/x
  3. Step 3: Cross multiply
    459.67x = 689.50 × 113.00
  4. Step 4: Simplify right side
    459.67x = 77,915.51
  5. Step 5: Solve for x
    x = 77,915.51/459.67
  6. Step 6: Final answer
    x = 169.50

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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.