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Finding the Fourth Proportional to 1,017.95, 1,527.00 and 287.58

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Solution

The fourth proportional to 1,017.95, 1,527.00 and 287.58 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.95 : 1,527.00 = 287.58 : x
  2. Step 2: Convert to fraction form
    1,017.95/1,527.00 = 287.58/x
  3. Step 3: Cross multiply
    1,017.95x = 1,527.00 × 287.58
  4. Step 4: Simplify right side
    1,017.95x = 439,140.93
  5. Step 5: Solve for x
    x = 439,140.93/1,017.95
  6. Step 6: Final answer
    x = 431.40

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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.