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Finding the Fourth Proportional to 1,000.71, 1,381.29 and 608.01

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Solution

The fourth proportional to 1,000.71, 1,381.29 and 608.01 is: 839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.71 : 1,381.29 = 608.01 : x
  2. Step 2: Convert to fraction form
    1,000.71/1,381.29 = 608.01/x
  3. Step 3: Cross multiply
    1,000.71x = 1,381.29 × 608.01
  4. Step 4: Simplify right side
    1,000.71x = 839,838.13
  5. Step 5: Solve for x
    x = 839,838.13/1,000.71
  6. Step 6: Final answer
    x = 839.24

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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.