Home / 1,127.16-1,688.36-716.08

Finding the Fourth Proportional to 1,127.16, 1,688.36 and 716.08

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Solution

The fourth proportional to 1,127.16, 1,688.36 and 716.08 is: 1,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.16 : 1,688.36 = 716.08 : x
  2. Step 2: Convert to fraction form
    1,127.16/1,688.36 = 716.08/x
  3. Step 3: Cross multiply
    1,127.16x = 1,688.36 × 716.08
  4. Step 4: Simplify right side
    1,127.16x = 1,209,000.83
  5. Step 5: Solve for x
    x = 1,209,000.83/1,127.16
  6. Step 6: Final answer
    x = 1,072.61

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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.