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Finding the Fourth Proportional to 1,020.46, 1,530.75 and 500.71

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Solution

The fourth proportional to 1,020.46, 1,530.75 and 500.71 is: 751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.46 : 1,530.75 = 500.71 : x
  2. Step 2: Convert to fraction form
    1,020.46/1,530.75 = 500.71/x
  3. Step 3: Cross multiply
    1,020.46x = 1,530.75 × 500.71
  4. Step 4: Simplify right side
    1,020.46x = 766,455.63
  5. Step 5: Solve for x
    x = 766,455.63/1,020.46
  6. Step 6: Final answer
    x = 751.09

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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.