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Finding the Fourth Proportional to 1,017.94, 1,527.14 and 555.48

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Solution

The fourth proportional to 1,017.94, 1,527.14 and 555.48 is: 833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.94 : 1,527.14 = 555.48 : x
  2. Step 2: Convert to fraction form
    1,017.94/1,527.14 = 555.48/x
  3. Step 3: Cross multiply
    1,017.94x = 1,527.14 × 555.48
  4. Step 4: Simplify right side
    1,017.94x = 848,299.55
  5. Step 5: Solve for x
    x = 848,299.55/1,017.94
  6. Step 6: Final answer
    x = 833.35

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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.