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Finding the Fourth Proportional to 597.21, 823.67 and 420.76

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Solution

The fourth proportional to 597.21, 823.67 and 420.76 is: 580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.21 : 823.67 = 420.76 : x
  2. Step 2: Convert to fraction form
    597.21/823.67 = 420.76/x
  3. Step 3: Cross multiply
    597.21x = 823.67 × 420.76
  4. Step 4: Simplify right side
    597.21x = 346,566.31
  5. Step 5: Solve for x
    x = 346,566.31/597.21
  6. Step 6: Final answer
    x = 580.31

Related Problems

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