Home / 1,501.17-2,252.98-770.95

Finding the Fourth Proportional to 1,501.17, 2,252.98 and 770.95

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Solution

The fourth proportional to 1,501.17, 2,252.98 and 770.95 is: 1,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.17 : 2,252.98 = 770.95 : x
  2. Step 2: Convert to fraction form
    1,501.17/2,252.98 = 770.95/x
  3. Step 3: Cross multiply
    1,501.17x = 2,252.98 × 770.95
  4. Step 4: Simplify right side
    1,501.17x = 1,736,938.71
  5. Step 5: Solve for x
    x = 1,736,938.71/1,501.17
  6. Step 6: Final answer
    x = 1,157.06

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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.