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Finding the Fourth Proportional to 684.05, 1,021.07 and 602.03

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Solution

The fourth proportional to 684.05, 1,021.07 and 602.03 is: 898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.05 : 1,021.07 = 602.03 : x
  2. Step 2: Convert to fraction form
    684.05/1,021.07 = 602.03/x
  3. Step 3: Cross multiply
    684.05x = 1,021.07 × 602.03
  4. Step 4: Simplify right side
    684.05x = 614,718.83
  5. Step 5: Solve for x
    x = 614,718.83/684.05
  6. Step 6: Final answer
    x = 898.65

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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.