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Finding the Fourth Proportional to 678.42, 937.10 and 501.74

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Solution

The fourth proportional to 678.42, 937.10 and 501.74 is: 693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.42 : 937.10 = 501.74 : x
  2. Step 2: Convert to fraction form
    678.42/937.10 = 501.74/x
  3. Step 3: Cross multiply
    678.42x = 937.10 × 501.74
  4. Step 4: Simplify right side
    678.42x = 470,180.55
  5. Step 5: Solve for x
    x = 470,180.55/678.42
  6. Step 6: Final answer
    x = 693.05

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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.