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Finding the Fourth Proportional to 833.30, 1,248.42 and 559.65

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Solution

The fourth proportional to 833.30, 1,248.42 and 559.65 is: 838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.30 : 1,248.42 = 559.65 : x
  2. Step 2: Convert to fraction form
    833.30/1,248.42 = 559.65/x
  3. Step 3: Cross multiply
    833.30x = 1,248.42 × 559.65
  4. Step 4: Simplify right side
    833.30x = 698,678.25
  5. Step 5: Solve for x
    x = 698,678.25/833.30
  6. Step 6: Final answer
    x = 838.45

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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.