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Finding the Fourth Proportional to 597.77, 824.74 and 345.68

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Solution

The fourth proportional to 597.77, 824.74 and 345.68 is: 476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.77 : 824.74 = 345.68 : x
  2. Step 2: Convert to fraction form
    597.77/824.74 = 345.68/x
  3. Step 3: Cross multiply
    597.77x = 824.74 × 345.68
  4. Step 4: Simplify right side
    597.77x = 285,096.12
  5. Step 5: Solve for x
    x = 285,096.12/597.77
  6. Step 6: Final answer
    x = 476.93

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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.