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Finding the Fourth Proportional to 678.63, 1,014.78 and 503.25

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Solution

The fourth proportional to 678.63, 1,014.78 and 503.25 is: 752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.63 : 1,014.78 = 503.25 : x
  2. Step 2: Convert to fraction form
    678.63/1,014.78 = 503.25/x
  3. Step 3: Cross multiply
    678.63x = 1,014.78 × 503.25
  4. Step 4: Simplify right side
    678.63x = 510,688.04
  5. Step 5: Solve for x
    x = 510,688.04/678.63
  6. Step 6: Final answer
    x = 752.53

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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.