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Finding the Fourth Proportional to 700.50, 966.10 and 511.19

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Solution

The fourth proportional to 700.50, 966.10 and 511.19 is: 705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.50 : 966.10 = 511.19 : x
  2. Step 2: Convert to fraction form
    700.50/966.10 = 511.19/x
  3. Step 3: Cross multiply
    700.50x = 966.10 × 511.19
  4. Step 4: Simplify right side
    700.50x = 493,854.55
  5. Step 5: Solve for x
    x = 493,854.55/700.50
  6. Step 6: Final answer
    x = 705.00

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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.