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Finding the Fourth Proportional to 810.54, 1,118.27 and 474.28

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Solution

The fourth proportional to 810.54, 1,118.27 and 474.28 is: 654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.54 : 1,118.27 = 474.28 : x
  2. Step 2: Convert to fraction form
    810.54/1,118.27 = 474.28/x
  3. Step 3: Cross multiply
    810.54x = 1,118.27 × 474.28
  4. Step 4: Simplify right side
    810.54x = 530,371.49
  5. Step 5: Solve for x
    x = 530,371.49/810.54
  6. Step 6: Final answer
    x = 654.34

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.