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Finding the Fourth Proportional to 1,018.19, 1,526.06 and 470.22

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Solution

The fourth proportional to 1,018.19, 1,526.06 and 470.22 is: 704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.19 : 1,526.06 = 470.22 : x
  2. Step 2: Convert to fraction form
    1,018.19/1,526.06 = 470.22/x
  3. Step 3: Cross multiply
    1,018.19x = 1,526.06 × 470.22
  4. Step 4: Simplify right side
    1,018.19x = 717,581.58
  5. Step 5: Solve for x
    x = 717,581.58/1,018.19
  6. Step 6: Final answer
    x = 704.77

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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.