Home / 1,655.49-2,284.33-947.22

Finding the Fourth Proportional to 1,655.49, 2,284.33 and 947.22

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Solution

The fourth proportional to 1,655.49, 2,284.33 and 947.22 is: 1,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.49 : 2,284.33 = 947.22 : x
  2. Step 2: Convert to fraction form
    1,655.49/2,284.33 = 947.22/x
  3. Step 3: Cross multiply
    1,655.49x = 2,284.33 × 947.22
  4. Step 4: Simplify right side
    1,655.49x = 2,163,758.33
  5. Step 5: Solve for x
    x = 2,163,758.33/1,655.49
  6. Step 6: Final answer
    x = 1,307.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.