Home / 1,088.43-1,631.20-510.09

Finding the Fourth Proportional to 1,088.43, 1,631.20 and 510.09

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Solution

The fourth proportional to 1,088.43, 1,631.20 and 510.09 is: 764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.43 : 1,631.20 = 510.09 : x
  2. Step 2: Convert to fraction form
    1,088.43/1,631.20 = 510.09/x
  3. Step 3: Cross multiply
    1,088.43x = 1,631.20 × 510.09
  4. Step 4: Simplify right side
    1,088.43x = 832,058.81
  5. Step 5: Solve for x
    x = 832,058.81/1,088.43
  6. Step 6: Final answer
    x = 764.46

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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.