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Finding the Fourth Proportional to 760.78, 1,141.64 and 350.11

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Solution

The fourth proportional to 760.78, 1,141.64 and 350.11 is: 525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.78 : 1,141.64 = 350.11 : x
  2. Step 2: Convert to fraction form
    760.78/1,141.64 = 350.11/x
  3. Step 3: Cross multiply
    760.78x = 1,141.64 × 350.11
  4. Step 4: Simplify right side
    760.78x = 399,699.58
  5. Step 5: Solve for x
    x = 399,699.58/760.78
  6. Step 6: Final answer
    x = 525.38

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Double scale
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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.