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Finding the Fourth Proportional to 1,020.76, 1,530.67 and 712.75

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Solution

The fourth proportional to 1,020.76, 1,530.67 and 712.75 is: 1,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.76 : 1,530.67 = 712.75 : x
  2. Step 2: Convert to fraction form
    1,020.76/1,530.67 = 712.75/x
  3. Step 3: Cross multiply
    1,020.76x = 1,530.67 × 712.75
  4. Step 4: Simplify right side
    1,020.76x = 1,090,985.04
  5. Step 5: Solve for x
    x = 1,090,985.04/1,020.76
  6. Step 6: Final answer
    x = 1,068.80

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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.