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Finding the Fourth Proportional to 1,020.72, 1,407.42 and 706.20

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Solution

The fourth proportional to 1,020.72, 1,407.42 and 706.20 is: 973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.72 : 1,407.42 = 706.20 : x
  2. Step 2: Convert to fraction form
    1,020.72/1,407.42 = 706.20/x
  3. Step 3: Cross multiply
    1,020.72x = 1,407.42 × 706.20
  4. Step 4: Simplify right side
    1,020.72x = 993,920.00
  5. Step 5: Solve for x
    x = 993,920.00/1,020.72
  6. Step 6: Final answer
    x = 973.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.