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Finding the Fourth Proportional to 678.26, 937.53 and 505.22

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Solution

The fourth proportional to 678.26, 937.53 and 505.22 is: 698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.26 : 937.53 = 505.22 : x
  2. Step 2: Convert to fraction form
    678.26/937.53 = 505.22/x
  3. Step 3: Cross multiply
    678.26x = 937.53 × 505.22
  4. Step 4: Simplify right side
    678.26x = 473,658.91
  5. Step 5: Solve for x
    x = 473,658.91/678.26
  6. Step 6: Final answer
    x = 698.34

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Double scale
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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.