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Finding the Fourth Proportional to 597.96, 824.28 and 420.37

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Solution

The fourth proportional to 597.96, 824.28 and 420.37 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 824.28 = 420.37 : x
  2. Step 2: Convert to fraction form
    597.96/824.28 = 420.37/x
  3. Step 3: Cross multiply
    597.96x = 824.28 × 420.37
  4. Step 4: Simplify right side
    597.96x = 346,498.95
  5. Step 5: Solve for x
    x = 346,498.95/597.96
  6. Step 6: Final answer
    x = 579.47

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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.