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Finding the Fourth Proportional to 760.19, 1,140.08 and 431.73

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Solution

The fourth proportional to 760.19, 1,140.08 and 431.73 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.19 : 1,140.08 = 431.73 : x
  2. Step 2: Convert to fraction form
    760.19/1,140.08 = 431.73/x
  3. Step 3: Cross multiply
    760.19x = 1,140.08 × 431.73
  4. Step 4: Simplify right side
    760.19x = 492,204.58
  5. Step 5: Solve for x
    x = 492,204.58/760.19
  6. Step 6: Final answer
    x = 647.48

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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.