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Finding the Fourth Proportional to 678.80, 935.52 and 503.84

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Solution

The fourth proportional to 678.80, 935.52 and 503.84 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.80 : 935.52 = 503.84 : x
  2. Step 2: Convert to fraction form
    678.80/935.52 = 503.84/x
  3. Step 3: Cross multiply
    678.80x = 935.52 × 503.84
  4. Step 4: Simplify right side
    678.80x = 471,352.40
  5. Step 5: Solve for x
    x = 471,352.40/678.80
  6. Step 6: Final answer
    x = 694.39

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1.5x scale

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.