Home / 1,646.17-2,271.77-900.11

Finding the Fourth Proportional to 1,646.17, 2,271.77 and 900.11

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Solution

The fourth proportional to 1,646.17, 2,271.77 and 900.11 is: 1,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.17 : 2,271.77 = 900.11 : x
  2. Step 2: Convert to fraction form
    1,646.17/2,271.77 = 900.11/x
  3. Step 3: Cross multiply
    1,646.17x = 2,271.77 × 900.11
  4. Step 4: Simplify right side
    1,646.17x = 2,044,833.79
  5. Step 5: Solve for x
    x = 2,044,833.79/1,646.17
  6. Step 6: Final answer
    x = 1,242.18

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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.