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Finding the Fourth Proportional to 677.99, 935.40 and 383.20

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Solution

The fourth proportional to 677.99, 935.40 and 383.20 is: 528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.99 : 935.40 = 383.20 : x
  2. Step 2: Convert to fraction form
    677.99/935.40 = 383.20/x
  3. Step 3: Cross multiply
    677.99x = 935.40 × 383.20
  4. Step 4: Simplify right side
    677.99x = 358,445.28
  5. Step 5: Solve for x
    x = 358,445.28/677.99
  6. Step 6: Final answer
    x = 528.69

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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.