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Finding the Fourth Proportional to 760.85, 1,141.31 and 431.58

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Solution

The fourth proportional to 760.85, 1,141.31 and 431.58 is: 647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.85 : 1,141.31 = 431.58 : x
  2. Step 2: Convert to fraction form
    760.85/1,141.31 = 431.58/x
  3. Step 3: Cross multiply
    760.85x = 1,141.31 × 431.58
  4. Step 4: Simplify right side
    760.85x = 492,566.57
  5. Step 5: Solve for x
    x = 492,566.57/760.85
  6. Step 6: Final answer
    x = 647.39

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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.