Home / 1,019.14-1,528.98-434.17

Finding the Fourth Proportional to 1,019.14, 1,528.98 and 434.17

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Solution

The fourth proportional to 1,019.14, 1,528.98 and 434.17 is: 651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.14 : 1,528.98 = 434.17 : x
  2. Step 2: Convert to fraction form
    1,019.14/1,528.98 = 434.17/x
  3. Step 3: Cross multiply
    1,019.14x = 1,528.98 × 434.17
  4. Step 4: Simplify right side
    1,019.14x = 663,837.25
  5. Step 5: Solve for x
    x = 663,837.25/1,019.14
  6. Step 6: Final answer
    x = 651.37

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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.