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Finding the Fourth Proportional to 675.88, 933.32 and 490.40

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Solution

The fourth proportional to 675.88, 933.32 and 490.40 is: 677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.88 : 933.32 = 490.40 : x
  2. Step 2: Convert to fraction form
    675.88/933.32 = 490.40/x
  3. Step 3: Cross multiply
    675.88x = 933.32 × 490.40
  4. Step 4: Simplify right side
    675.88x = 457,700.13
  5. Step 5: Solve for x
    x = 457,700.13/675.88
  6. Step 6: Final answer
    x = 677.19

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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.