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Finding the Fourth Proportional to 760.01, 1,139.81 and 539.99

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Solution

The fourth proportional to 760.01, 1,139.81 and 539.99 is: 809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.01 : 1,139.81 = 539.99 : x
  2. Step 2: Convert to fraction form
    760.01/1,139.81 = 539.99/x
  3. Step 3: Cross multiply
    760.01x = 1,139.81 × 539.99
  4. Step 4: Simplify right side
    760.01x = 615,477.60
  5. Step 5: Solve for x
    x = 615,477.60/760.01
  6. Step 6: Final answer
    x = 809.83

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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.