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Finding the Fourth Proportional to 1,013.35, 1,519.50 and 465.06

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Solution

The fourth proportional to 1,013.35, 1,519.50 and 465.06 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.35 : 1,519.50 = 465.06 : x
  2. Step 2: Convert to fraction form
    1,013.35/1,519.50 = 465.06/x
  3. Step 3: Cross multiply
    1,013.35x = 1,519.50 × 465.06
  4. Step 4: Simplify right side
    1,013.35x = 706,658.67
  5. Step 5: Solve for x
    x = 706,658.67/1,013.35
  6. Step 6: Final answer
    x = 697.35

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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.