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Finding the Fourth Proportional to 1,020.62, 1,530.93 and 404.00

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Solution

The fourth proportional to 1,020.62, 1,530.93 and 404.00 is: 606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.62 : 1,530.93 = 404.00 : x
  2. Step 2: Convert to fraction form
    1,020.62/1,530.93 = 404.00/x
  3. Step 3: Cross multiply
    1,020.62x = 1,530.93 × 404.00
  4. Step 4: Simplify right side
    1,020.62x = 618,503.93
  5. Step 5: Solve for x
    x = 618,503.93/1,020.62
  6. Step 6: Final answer
    x = 606.01

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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.