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Finding the Fourth Proportional to 683.65, 1,026.17 and 500.50

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Solution

The fourth proportional to 683.65, 1,026.17 and 500.50 is: 751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 1,026.17 = 500.50 : x
  2. Step 2: Convert to fraction form
    683.65/1,026.17 = 500.50/x
  3. Step 3: Cross multiply
    683.65x = 1,026.17 × 500.50
  4. Step 4: Simplify right side
    683.65x = 513,590.45
  5. Step 5: Solve for x
    x = 513,590.45/683.65
  6. Step 6: Final answer
    x = 751.25

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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.