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Finding the Fourth Proportional to 690.20, 1,030.66 and 599.12

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Solution

The fourth proportional to 690.20, 1,030.66 and 599.12 is: 894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.20 : 1,030.66 = 599.12 : x
  2. Step 2: Convert to fraction form
    690.20/1,030.66 = 599.12/x
  3. Step 3: Cross multiply
    690.20x = 1,030.66 × 599.12
  4. Step 4: Simplify right side
    690.20x = 617,489.02
  5. Step 5: Solve for x
    x = 617,489.02/690.20
  6. Step 6: Final answer
    x = 894.65

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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.