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Finding the Fourth Proportional to 1,020.36, 1,530.50 and 404.48

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Solution

The fourth proportional to 1,020.36, 1,530.50 and 404.48 is: 606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.36 : 1,530.50 = 404.48 : x
  2. Step 2: Convert to fraction form
    1,020.36/1,530.50 = 404.48/x
  3. Step 3: Cross multiply
    1,020.36x = 1,530.50 × 404.48
  4. Step 4: Simplify right side
    1,020.36x = 619,056.64
  5. Step 5: Solve for x
    x = 619,056.64/1,020.36
  6. Step 6: Final answer
    x = 606.70

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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.