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Finding the Fourth Proportional to 1,017.06, 1,525.79 and 286.66

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Solution

The fourth proportional to 1,017.06, 1,525.79 and 286.66 is: 430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.06 : 1,525.79 = 286.66 : x
  2. Step 2: Convert to fraction form
    1,017.06/1,525.79 = 286.66/x
  3. Step 3: Cross multiply
    1,017.06x = 1,525.79 × 286.66
  4. Step 4: Simplify right side
    1,017.06x = 437,382.96
  5. Step 5: Solve for x
    x = 437,382.96/1,017.06
  6. Step 6: Final answer
    x = 430.05

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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.