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Finding the Fourth Proportional to 1,048.47, 1,446.71 and 606.29

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Solution

The fourth proportional to 1,048.47, 1,446.71 and 606.29 is: 836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.47 : 1,446.71 = 606.29 : x
  2. Step 2: Convert to fraction form
    1,048.47/1,446.71 = 606.29/x
  3. Step 3: Cross multiply
    1,048.47x = 1,446.71 × 606.29
  4. Step 4: Simplify right side
    1,048.47x = 877,125.81
  5. Step 5: Solve for x
    x = 877,125.81/1,048.47
  6. Step 6: Final answer
    x = 836.58

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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.