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Finding the Fourth Proportional to 761.77, 1,051.14 and 481.51

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Solution

The fourth proportional to 761.77, 1,051.14 and 481.51 is: 664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.77 : 1,051.14 = 481.51 : x
  2. Step 2: Convert to fraction form
    761.77/1,051.14 = 481.51/x
  3. Step 3: Cross multiply
    761.77x = 1,051.14 × 481.51
  4. Step 4: Simplify right side
    761.77x = 506,137.54
  5. Step 5: Solve for x
    x = 506,137.54/761.77
  6. Step 6: Final answer
    x = 664.42

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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.