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Finding the Fourth Proportional to 760.73, 1,140.62 and 529.88

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Solution

The fourth proportional to 760.73, 1,140.62 and 529.88 is: 794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.73 : 1,140.62 = 529.88 : x
  2. Step 2: Convert to fraction form
    760.73/1,140.62 = 529.88/x
  3. Step 3: Cross multiply
    760.73x = 1,140.62 × 529.88
  4. Step 4: Simplify right side
    760.73x = 604,383.37
  5. Step 5: Solve for x
    x = 604,383.37/760.73
  6. Step 6: Final answer
    x = 794.48

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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.