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Finding the Fourth Proportional to 536.77, 742.77 and 457.97

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Solution

The fourth proportional to 536.77, 742.77 and 457.97 is: 633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.77 : 742.77 = 457.97 : x
  2. Step 2: Convert to fraction form
    536.77/742.77 = 457.97/x
  3. Step 3: Cross multiply
    536.77x = 742.77 × 457.97
  4. Step 4: Simplify right side
    536.77x = 340,162.66
  5. Step 5: Solve for x
    x = 340,162.66/536.77
  6. Step 6: Final answer
    x = 633.72

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Find fourth proportional to 268.38, 371.39 and 228.98
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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.