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Finding the Fourth Proportional to 493.39, 740.14 and 347.24

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Solution

The fourth proportional to 493.39, 740.14 and 347.24 is: 520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.39 : 740.14 = 347.24 : x
  2. Step 2: Convert to fraction form
    493.39/740.14 = 347.24/x
  3. Step 3: Cross multiply
    493.39x = 740.14 × 347.24
  4. Step 4: Simplify right side
    493.39x = 257,003.03
  5. Step 5: Solve for x
    x = 257,003.03/493.39
  6. Step 6: Final answer
    x = 520.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.