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Finding the Fourth Proportional to 760.87, 1,049.99 and 429.29

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Solution

The fourth proportional to 760.87, 1,049.99 and 429.29 is: 592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.87 : 1,049.99 = 429.29 : x
  2. Step 2: Convert to fraction form
    760.87/1,049.99 = 429.29/x
  3. Step 3: Cross multiply
    760.87x = 1,049.99 × 429.29
  4. Step 4: Simplify right side
    760.87x = 450,750.21
  5. Step 5: Solve for x
    x = 450,750.21/760.87
  6. Step 6: Final answer
    x = 592.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.