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Finding the Fourth Proportional to 1,223.03, 1,831.30 and 644.15

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Solution

The fourth proportional to 1,223.03, 1,831.30 and 644.15 is: 964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.03 : 1,831.30 = 644.15 : x
  2. Step 2: Convert to fraction form
    1,223.03/1,831.30 = 644.15/x
  3. Step 3: Cross multiply
    1,223.03x = 1,831.30 × 644.15
  4. Step 4: Simplify right side
    1,223.03x = 1,179,621.13
  5. Step 5: Solve for x
    x = 1,179,621.13/1,223.03
  6. Step 6: Final answer
    x = 964.51

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Half scale
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Double scale
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1.5x scale

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.