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Finding the Fourth Proportional to 1,004.87, 1,387.73 and 690.93

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Solution

The fourth proportional to 1,004.87, 1,387.73 and 690.93 is: 954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.87 : 1,387.73 = 690.93 : x
  2. Step 2: Convert to fraction form
    1,004.87/1,387.73 = 690.93/x
  3. Step 3: Cross multiply
    1,004.87x = 1,387.73 × 690.93
  4. Step 4: Simplify right side
    1,004.87x = 958,826.02
  5. Step 5: Solve for x
    x = 958,826.02/1,004.87
  6. Step 6: Final answer
    x = 954.18

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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.