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Finding the Fourth Proportional to 760, 1,137.76 and 514.88

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Solution

The fourth proportional to 760, 1,137.76 and 514.88 is: 770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    760 : 1,137.76 = 514.88 : x
  2. Step 2: Convert to fraction form
    760/1,137.76 = 514.88/x
  3. Step 3: Cross multiply
    760x = 1,137.76 × 514.88
  4. Step 4: Simplify right side
    760x = 585,809.87
  5. Step 5: Solve for x
    x = 585,809.87/760
  6. Step 6: Final answer
    x = 770.80

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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.