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Finding the Fourth Proportional to 760.63, 1,139.86 and 376.15

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Solution

The fourth proportional to 760.63, 1,139.86 and 376.15 is: 563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.63 : 1,139.86 = 376.15 : x
  2. Step 2: Convert to fraction form
    760.63/1,139.86 = 376.15/x
  3. Step 3: Cross multiply
    760.63x = 1,139.86 × 376.15
  4. Step 4: Simplify right side
    760.63x = 428,758.34
  5. Step 5: Solve for x
    x = 428,758.34/760.63
  6. Step 6: Final answer
    x = 563.69

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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.