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Finding the Fourth Proportional to 700.85, 967.08 and 435.35

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Solution

The fourth proportional to 700.85, 967.08 and 435.35 is: 600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.85 : 967.08 = 435.35 : x
  2. Step 2: Convert to fraction form
    700.85/967.08 = 435.35/x
  3. Step 3: Cross multiply
    700.85x = 967.08 × 435.35
  4. Step 4: Simplify right side
    700.85x = 421,016.10
  5. Step 5: Solve for x
    x = 421,016.10/700.85
  6. Step 6: Final answer
    x = 600.72

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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.