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Finding the Fourth Proportional to 693.77, 1,042.47 and 646.38

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Solution

The fourth proportional to 693.77, 1,042.47 and 646.38 is: 971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.77 : 1,042.47 = 646.38 : x
  2. Step 2: Convert to fraction form
    693.77/1,042.47 = 646.38/x
  3. Step 3: Cross multiply
    693.77x = 1,042.47 × 646.38
  4. Step 4: Simplify right side
    693.77x = 673,831.76
  5. Step 5: Solve for x
    x = 673,831.76/693.77
  6. Step 6: Final answer
    x = 971.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.