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Finding the Fourth Proportional to 690.98, 1,037.07 and 599.45

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Solution

The fourth proportional to 690.98, 1,037.07 and 599.45 is: 899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 1,037.07 = 599.45 : x
  2. Step 2: Convert to fraction form
    690.98/1,037.07 = 599.45/x
  3. Step 3: Cross multiply
    690.98x = 1,037.07 × 599.45
  4. Step 4: Simplify right side
    690.98x = 621,666.43
  5. Step 5: Solve for x
    x = 621,666.43/690.98
  6. Step 6: Final answer
    x = 899.69

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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.