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Finding the Fourth Proportional to 1,086.70, 1,499.63 and 621.04

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Solution

The fourth proportional to 1,086.70, 1,499.63 and 621.04 is: 857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.70 : 1,499.63 = 621.04 : x
  2. Step 2: Convert to fraction form
    1,086.70/1,499.63 = 621.04/x
  3. Step 3: Cross multiply
    1,086.70x = 1,499.63 × 621.04
  4. Step 4: Simplify right side
    1,086.70x = 931,319.61
  5. Step 5: Solve for x
    x = 931,319.61/1,086.70
  6. Step 6: Final answer
    x = 857.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.