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Finding the Fourth Proportional to 760.29, 1,139.90 and 486.51

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Solution

The fourth proportional to 760.29, 1,139.90 and 486.51 is: 729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.29 : 1,139.90 = 486.51 : x
  2. Step 2: Convert to fraction form
    760.29/1,139.90 = 486.51/x
  3. Step 3: Cross multiply
    760.29x = 1,139.90 × 486.51
  4. Step 4: Simplify right side
    760.29x = 554,570.32
  5. Step 5: Solve for x
    x = 554,570.32/760.29
  6. Step 6: Final answer
    x = 729.42

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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.