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Finding the Fourth Proportional to 1,018.83, 1,528.23 and 402.19

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Solution

The fourth proportional to 1,018.83, 1,528.23 and 402.19 is: 603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.83 : 1,528.23 = 402.19 : x
  2. Step 2: Convert to fraction form
    1,018.83/1,528.23 = 402.19/x
  3. Step 3: Cross multiply
    1,018.83x = 1,528.23 × 402.19
  4. Step 4: Simplify right side
    1,018.83x = 614,640.81
  5. Step 5: Solve for x
    x = 614,640.81/1,018.83
  6. Step 6: Final answer
    x = 603.28

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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.