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Finding the Fourth Proportional to 1,020.84, 1,407.12 and 689.16

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Solution

The fourth proportional to 1,020.84, 1,407.12 and 689.16 is: 949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.84 : 1,407.12 = 689.16 : x
  2. Step 2: Convert to fraction form
    1,020.84/1,407.12 = 689.16/x
  3. Step 3: Cross multiply
    1,020.84x = 1,407.12 × 689.16
  4. Step 4: Simplify right side
    1,020.84x = 969,730.82
  5. Step 5: Solve for x
    x = 969,730.82/1,020.84
  6. Step 6: Final answer
    x = 949.93

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1.5x scale

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.