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Finding the Fourth Proportional to 690.34, 951.96 and 597.01

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Solution

The fourth proportional to 690.34, 951.96 and 597.01 is: 823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.34 : 951.96 = 597.01 : x
  2. Step 2: Convert to fraction form
    690.34/951.96 = 597.01/x
  3. Step 3: Cross multiply
    690.34x = 951.96 × 597.01
  4. Step 4: Simplify right side
    690.34x = 568,329.64
  5. Step 5: Solve for x
    x = 568,329.64/690.34
  6. Step 6: Final answer
    x = 823.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.