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Finding the Fourth Proportional to 597.29, 824.25 and 348.77

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Solution

The fourth proportional to 597.29, 824.25 and 348.77 is: 481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.29 : 824.25 = 348.77 : x
  2. Step 2: Convert to fraction form
    597.29/824.25 = 348.77/x
  3. Step 3: Cross multiply
    597.29x = 824.25 × 348.77
  4. Step 4: Simplify right side
    597.29x = 287,469.55
  5. Step 5: Solve for x
    x = 287,469.55/597.29
  6. Step 6: Final answer
    x = 481.29

Related Problems

Find fourth proportional to 298.64, 412.13 and 174.38
Half scale
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Double scale
Find fourth proportional to 598.29, 825.63 and 349.77
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.