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Finding the Fourth Proportional to 534.76, 738.02 and 313.80

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Solution

The fourth proportional to 534.76, 738.02 and 313.80 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.76 : 738.02 = 313.80 : x
  2. Step 2: Convert to fraction form
    534.76/738.02 = 313.80/x
  3. Step 3: Cross multiply
    534.76x = 738.02 × 313.80
  4. Step 4: Simplify right side
    534.76x = 231,590.68
  5. Step 5: Solve for x
    x = 231,590.68/534.76
  6. Step 6: Final answer
    x = 433.07

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Find fourth proportional to 267.38, 369.01 and 156.90
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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.