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Finding the Fourth Proportional to 760.31, 1,141.13 and 390.37

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Solution

The fourth proportional to 760.31, 1,141.13 and 390.37 is: 585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.31 : 1,141.13 = 390.37 : x
  2. Step 2: Convert to fraction form
    760.31/1,141.13 = 390.37/x
  3. Step 3: Cross multiply
    760.31x = 1,141.13 × 390.37
  4. Step 4: Simplify right side
    760.31x = 445,459.30
  5. Step 5: Solve for x
    x = 445,459.30/760.31
  6. Step 6: Final answer
    x = 585.90

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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.