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Finding the Fourth Proportional to 678.15, 1,015.61 and 461.07

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Solution

The fourth proportional to 678.15, 1,015.61 and 461.07 is: 690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.15 : 1,015.61 = 461.07 : x
  2. Step 2: Convert to fraction form
    678.15/1,015.61 = 461.07/x
  3. Step 3: Cross multiply
    678.15x = 1,015.61 × 461.07
  4. Step 4: Simplify right side
    678.15x = 468,265.00
  5. Step 5: Solve for x
    x = 468,265.00/678.15
  6. Step 6: Final answer
    x = 690.50

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1.5x scale

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.