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Finding the Fourth Proportional to 1,018.75, 1,406.14 and 626.11

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Solution

The fourth proportional to 1,018.75, 1,406.14 and 626.11 is: 864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.75 : 1,406.14 = 626.11 : x
  2. Step 2: Convert to fraction form
    1,018.75/1,406.14 = 626.11/x
  3. Step 3: Cross multiply
    1,018.75x = 1,406.14 × 626.11
  4. Step 4: Simplify right side
    1,018.75x = 880,391.28
  5. Step 5: Solve for x
    x = 880,391.28/1,018.75
  6. Step 6: Final answer
    x = 864.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.