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Finding the Fourth Proportional to 690.62, 1,030.81 and 604.46

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Solution

The fourth proportional to 690.62, 1,030.81 and 604.46 is: 902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.62 : 1,030.81 = 604.46 : x
  2. Step 2: Convert to fraction form
    690.62/1,030.81 = 604.46/x
  3. Step 3: Cross multiply
    690.62x = 1,030.81 × 604.46
  4. Step 4: Simplify right side
    690.62x = 623,083.41
  5. Step 5: Solve for x
    x = 623,083.41/690.62
  6. Step 6: Final answer
    x = 902.21

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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.