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Finding the Fourth Proportional to 1,005.43, 1,387.23 and 651.46

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Solution

The fourth proportional to 1,005.43, 1,387.23 and 651.46 is: 898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.43 : 1,387.23 = 651.46 : x
  2. Step 2: Convert to fraction form
    1,005.43/1,387.23 = 651.46/x
  3. Step 3: Cross multiply
    1,005.43x = 1,387.23 × 651.46
  4. Step 4: Simplify right side
    1,005.43x = 903,721.60
  5. Step 5: Solve for x
    x = 903,721.60/1,005.43
  6. Step 6: Final answer
    x = 898.84

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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.