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Finding the Fourth Proportional to 830.46, 1,246.65 and 501.90

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Solution

The fourth proportional to 830.46, 1,246.65 and 501.90 is: 753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.46 : 1,246.65 = 501.90 : x
  2. Step 2: Convert to fraction form
    830.46/1,246.65 = 501.90/x
  3. Step 3: Cross multiply
    830.46x = 1,246.65 × 501.90
  4. Step 4: Simplify right side
    830.46x = 625,693.64
  5. Step 5: Solve for x
    x = 625,693.64/830.46
  6. Step 6: Final answer
    x = 753.43

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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.