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Finding the Fourth Proportional to 1,017.06, 1,518.18 and 952.98

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Solution

The fourth proportional to 1,017.06, 1,518.18 and 952.98 is: 1,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.06 : 1,518.18 = 952.98 : x
  2. Step 2: Convert to fraction form
    1,017.06/1,518.18 = 952.98/x
  3. Step 3: Cross multiply
    1,017.06x = 1,518.18 × 952.98
  4. Step 4: Simplify right side
    1,017.06x = 1,446,795.18
  5. Step 5: Solve for x
    x = 1,446,795.18/1,017.06
  6. Step 6: Final answer
    x = 1,422.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.