Home / 1,117.26-1,666.44-977.13

Finding the Fourth Proportional to 1,117.26, 1,666.44 and 977.13

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Solution

The fourth proportional to 1,117.26, 1,666.44 and 977.13 is: 1,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.26 : 1,666.44 = 977.13 : x
  2. Step 2: Convert to fraction form
    1,117.26/1,666.44 = 977.13/x
  3. Step 3: Cross multiply
    1,117.26x = 1,666.44 × 977.13
  4. Step 4: Simplify right side
    1,117.26x = 1,628,328.52
  5. Step 5: Solve for x
    x = 1,628,328.52/1,117.26
  6. Step 6: Final answer
    x = 1,457.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.