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Finding the Fourth Proportional to 470.10, 699.84 and 464.84

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Solution

The fourth proportional to 470.10, 699.84 and 464.84 is: 692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.10 : 699.84 = 464.84 : x
  2. Step 2: Convert to fraction form
    470.10/699.84 = 464.84/x
  3. Step 3: Cross multiply
    470.10x = 699.84 × 464.84
  4. Step 4: Simplify right side
    470.10x = 325,312.75
  5. Step 5: Solve for x
    x = 325,312.75/470.10
  6. Step 6: Final answer
    x = 692.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.