Home / 1,507.04-2,261.13-776.15

Finding the Fourth Proportional to 1,507.04, 2,261.13 and 776.15

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Solution

The fourth proportional to 1,507.04, 2,261.13 and 776.15 is: 1,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.04 : 2,261.13 = 776.15 : x
  2. Step 2: Convert to fraction form
    1,507.04/2,261.13 = 776.15/x
  3. Step 3: Cross multiply
    1,507.04x = 2,261.13 × 776.15
  4. Step 4: Simplify right side
    1,507.04x = 1,754,960.86
  5. Step 5: Solve for x
    x = 1,754,960.86/1,507.04
  6. Step 6: Final answer
    x = 1,164.51

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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.