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Finding the Fourth Proportional to 761.32, 1,141.98 and 305

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Solution

The fourth proportional to 761.32, 1,141.98 and 305 is: 457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.32 : 1,141.98 = 305 : x
  2. Step 2: Convert to fraction form
    761.32/1,141.98 = 305/x
  3. Step 3: Cross multiply
    761.32x = 1,141.98 × 305
  4. Step 4: Simplify right side
    761.32x = 348,303.90
  5. Step 5: Solve for x
    x = 348,303.90/761.32
  6. Step 6: Final answer
    x = 457.50

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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.