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Finding the Fourth Proportional to 690.34, 952.65 and 375.60

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Solution

The fourth proportional to 690.34, 952.65 and 375.60 is: 518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.34 : 952.65 = 375.60 : x
  2. Step 2: Convert to fraction form
    690.34/952.65 = 375.60/x
  3. Step 3: Cross multiply
    690.34x = 952.65 × 375.60
  4. Step 4: Simplify right side
    690.34x = 357,810.83
  5. Step 5: Solve for x
    x = 357,810.83/690.34
  6. Step 6: Final answer
    x = 518.31

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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.