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Finding the Fourth Proportional to 690.10, 953.13 and 513.70

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Solution

The fourth proportional to 690.10, 953.13 and 513.70 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.10 : 953.13 = 513.70 : x
  2. Step 2: Convert to fraction form
    690.10/953.13 = 513.70/x
  3. Step 3: Cross multiply
    690.10x = 953.13 × 513.70
  4. Step 4: Simplify right side
    690.10x = 489,622.88
  5. Step 5: Solve for x
    x = 489,622.88/690.10
  6. Step 6: Final answer
    x = 709.50

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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.