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Finding the Fourth Proportional to 925.77, 1,388.00 and 463.22

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Solution

The fourth proportional to 925.77, 1,388.00 and 463.22 is: 694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.77 : 1,388.00 = 463.22 : x
  2. Step 2: Convert to fraction form
    925.77/1,388.00 = 463.22/x
  3. Step 3: Cross multiply
    925.77x = 1,388.00 × 463.22
  4. Step 4: Simplify right side
    925.77x = 642,941.84
  5. Step 5: Solve for x
    x = 642,941.84/925.77
  6. Step 6: Final answer
    x = 694.49

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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.