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Finding the Fourth Proportional to 760.05, 1,140.62 and 686.61

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Solution

The fourth proportional to 760.05, 1,140.62 and 686.61 is: 1,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.05 : 1,140.62 = 686.61 : x
  2. Step 2: Convert to fraction form
    760.05/1,140.62 = 686.61/x
  3. Step 3: Cross multiply
    760.05x = 1,140.62 × 686.61
  4. Step 4: Simplify right side
    760.05x = 783,157.67
  5. Step 5: Solve for x
    x = 783,157.67/760.05
  6. Step 6: Final answer
    x = 1,030.40

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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.