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Finding the Fourth Proportional to 700.15, 966.25 and 463.69

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Solution

The fourth proportional to 700.15, 966.25 and 463.69 is: 639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.15 : 966.25 = 463.69 : x
  2. Step 2: Convert to fraction form
    700.15/966.25 = 463.69/x
  3. Step 3: Cross multiply
    700.15x = 966.25 × 463.69
  4. Step 4: Simplify right side
    700.15x = 448,035.63
  5. Step 5: Solve for x
    x = 448,035.63/700.15
  6. Step 6: Final answer
    x = 639.91

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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.