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Finding the Fourth Proportional to 1,086.98, 1,630.01 and 509.45

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Solution

The fourth proportional to 1,086.98, 1,630.01 and 509.45 is: 763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.98 : 1,630.01 = 509.45 : x
  2. Step 2: Convert to fraction form
    1,086.98/1,630.01 = 509.45/x
  3. Step 3: Cross multiply
    1,086.98x = 1,630.01 × 509.45
  4. Step 4: Simplify right side
    1,086.98x = 830,397.90
  5. Step 5: Solve for x
    x = 830,397.90/1,086.98
  6. Step 6: Final answer
    x = 763.95

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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.