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Finding the Fourth Proportional to 678.64, 1,019.04 and 568.84

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Solution

The fourth proportional to 678.64, 1,019.04 and 568.84 is: 854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.64 : 1,019.04 = 568.84 : x
  2. Step 2: Convert to fraction form
    678.64/1,019.04 = 568.84/x
  3. Step 3: Cross multiply
    678.64x = 1,019.04 × 568.84
  4. Step 4: Simplify right side
    678.64x = 579,670.71
  5. Step 5: Solve for x
    x = 579,670.71/678.64
  6. Step 6: Final answer
    x = 854.17

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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.