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Finding the Fourth Proportional to 1,011.64, 1,395.14 and 638.20

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Solution

The fourth proportional to 1,011.64, 1,395.14 and 638.20 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.64 : 1,395.14 = 638.20 : x
  2. Step 2: Convert to fraction form
    1,011.64/1,395.14 = 638.20/x
  3. Step 3: Cross multiply
    1,011.64x = 1,395.14 × 638.20
  4. Step 4: Simplify right side
    1,011.64x = 890,378.35
  5. Step 5: Solve for x
    x = 890,378.35/1,011.64
  6. Step 6: Final answer
    x = 880.13

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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.