Home / 1,407.56-2,111.36-433.66

Finding the Fourth Proportional to 1,407.56, 2,111.36 and 433.66

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Solution

The fourth proportional to 1,407.56, 2,111.36 and 433.66 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.56 : 2,111.36 = 433.66 : x
  2. Step 2: Convert to fraction form
    1,407.56/2,111.36 = 433.66/x
  3. Step 3: Cross multiply
    1,407.56x = 2,111.36 × 433.66
  4. Step 4: Simplify right side
    1,407.56x = 915,607.10
  5. Step 5: Solve for x
    x = 915,607.10/1,407.56
  6. Step 6: Final answer
    x = 650.49

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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.