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Finding the Fourth Proportional to 1,019.90, 1,529.34 and 435.17

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Solution

The fourth proportional to 1,019.90, 1,529.34 and 435.17 is: 652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.90 : 1,529.34 = 435.17 : x
  2. Step 2: Convert to fraction form
    1,019.90/1,529.34 = 435.17/x
  3. Step 3: Cross multiply
    1,019.90x = 1,529.34 × 435.17
  4. Step 4: Simplify right side
    1,019.90x = 665,515.24
  5. Step 5: Solve for x
    x = 665,515.24/1,019.90
  6. Step 6: Final answer
    x = 652.53

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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.