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Finding the Fourth Proportional to 690.78, 953.27 and 514.53

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Solution

The fourth proportional to 690.78, 953.27 and 514.53 is: 710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.78 : 953.27 = 514.53 : x
  2. Step 2: Convert to fraction form
    690.78/953.27 = 514.53/x
  3. Step 3: Cross multiply
    690.78x = 953.27 × 514.53
  4. Step 4: Simplify right side
    690.78x = 490,486.01
  5. Step 5: Solve for x
    x = 490,486.01/690.78
  6. Step 6: Final answer
    x = 710.05

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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.