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Finding the Fourth Proportional to 678.32, 1,017.93 and 505.18

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Solution

The fourth proportional to 678.32, 1,017.93 and 505.18 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.32 : 1,017.93 = 505.18 : x
  2. Step 2: Convert to fraction form
    678.32/1,017.93 = 505.18/x
  3. Step 3: Cross multiply
    678.32x = 1,017.93 × 505.18
  4. Step 4: Simplify right side
    678.32x = 514,230.26
  5. Step 5: Solve for x
    x = 514,230.26/678.32
  6. Step 6: Final answer
    x = 758.10

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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.