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Finding the Fourth Proportional to 690.68, 953.52 and 442.16

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Solution

The fourth proportional to 690.68, 953.52 and 442.16 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.68 : 953.52 = 442.16 : x
  2. Step 2: Convert to fraction form
    690.68/953.52 = 442.16/x
  3. Step 3: Cross multiply
    690.68x = 953.52 × 442.16
  4. Step 4: Simplify right side
    690.68x = 421,608.40
  5. Step 5: Solve for x
    x = 421,608.40/690.68
  6. Step 6: Final answer
    x = 610.43

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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.