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Finding the Fourth Proportional to 689.51, 950.54 and 514.55

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Solution

The fourth proportional to 689.51, 950.54 and 514.55 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.51 : 950.54 = 514.55 : x
  2. Step 2: Convert to fraction form
    689.51/950.54 = 514.55/x
  3. Step 3: Cross multiply
    689.51x = 950.54 × 514.55
  4. Step 4: Simplify right side
    689.51x = 489,100.16
  5. Step 5: Solve for x
    x = 489,100.16/689.51
  6. Step 6: Final answer
    x = 709.34

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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.