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Finding the Fourth Proportional to 678.58, 938.19 and 503.62

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Solution

The fourth proportional to 678.58, 938.19 and 503.62 is: 696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.58 : 938.19 = 503.62 : x
  2. Step 2: Convert to fraction form
    678.58/938.19 = 503.62/x
  3. Step 3: Cross multiply
    678.58x = 938.19 × 503.62
  4. Step 4: Simplify right side
    678.58x = 472,491.25
  5. Step 5: Solve for x
    x = 472,491.25/678.58
  6. Step 6: Final answer
    x = 696.29

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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.