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Finding the Fourth Proportional to 689.89, 953.31 and 503.95

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Solution

The fourth proportional to 689.89, 953.31 and 503.95 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.89 : 953.31 = 503.95 : x
  2. Step 2: Convert to fraction form
    689.89/953.31 = 503.95/x
  3. Step 3: Cross multiply
    689.89x = 953.31 × 503.95
  4. Step 4: Simplify right side
    689.89x = 480,420.57
  5. Step 5: Solve for x
    x = 480,420.57/689.89
  6. Step 6: Final answer
    x = 696.37

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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.