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Finding the Fourth Proportional to 761.42, 1,141.91 and 390.98

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Solution

The fourth proportional to 761.42, 1,141.91 and 390.98 is: 586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.42 : 1,141.91 = 390.98 : x
  2. Step 2: Convert to fraction form
    761.42/1,141.91 = 390.98/x
  3. Step 3: Cross multiply
    761.42x = 1,141.91 × 390.98
  4. Step 4: Simplify right side
    761.42x = 446,458.26
  5. Step 5: Solve for x
    x = 446,458.26/761.42
  6. Step 6: Final answer
    x = 586.35

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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.