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Finding the Fourth Proportional to 678.56, 1,017.68 and 353.74

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Solution

The fourth proportional to 678.56, 1,017.68 and 353.74 is: 530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.56 : 1,017.68 = 353.74 : x
  2. Step 2: Convert to fraction form
    678.56/1,017.68 = 353.74/x
  3. Step 3: Cross multiply
    678.56x = 1,017.68 × 353.74
  4. Step 4: Simplify right side
    678.56x = 359,994.12
  5. Step 5: Solve for x
    x = 359,994.12/678.56
  6. Step 6: Final answer
    x = 530.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.