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Finding the Fourth Proportional to 684.28, 1,021.73 and 562.76

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Solution

The fourth proportional to 684.28, 1,021.73 and 562.76 is: 840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.28 : 1,021.73 = 562.76 : x
  2. Step 2: Convert to fraction form
    684.28/1,021.73 = 562.76/x
  3. Step 3: Cross multiply
    684.28x = 1,021.73 × 562.76
  4. Step 4: Simplify right side
    684.28x = 574,988.77
  5. Step 5: Solve for x
    x = 574,988.77/684.28
  6. Step 6: Final answer
    x = 840.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.