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Finding the Fourth Proportional to 597.28, 822.64 and 554.76

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Solution

The fourth proportional to 597.28, 822.64 and 554.76 is: 764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.28 : 822.64 = 554.76 : x
  2. Step 2: Convert to fraction form
    597.28/822.64 = 554.76/x
  3. Step 3: Cross multiply
    597.28x = 822.64 × 554.76
  4. Step 4: Simplify right side
    597.28x = 456,367.77
  5. Step 5: Solve for x
    x = 456,367.77/597.28
  6. Step 6: Final answer
    x = 764.08

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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.