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Finding the Fourth Proportional to 682.04, 1,023.06 and 477.01

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Solution

The fourth proportional to 682.04, 1,023.06 and 477.01 is: 715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 1,023.06 = 477.01 : x
  2. Step 2: Convert to fraction form
    682.04/1,023.06 = 477.01/x
  3. Step 3: Cross multiply
    682.04x = 1,023.06 × 477.01
  4. Step 4: Simplify right side
    682.04x = 488,004.74
  5. Step 5: Solve for x
    x = 488,004.74/682.04
  6. Step 6: Final answer
    x = 715.51

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Half scale
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Double scale
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Similar ratio
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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.