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Finding the Fourth Proportional to 476.05, 710.46 and 463.75

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Solution

The fourth proportional to 476.05, 710.46 and 463.75 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.05 : 710.46 = 463.75 : x
  2. Step 2: Convert to fraction form
    476.05/710.46 = 463.75/x
  3. Step 3: Cross multiply
    476.05x = 710.46 × 463.75
  4. Step 4: Simplify right side
    476.05x = 329,475.83
  5. Step 5: Solve for x
    x = 329,475.83/476.05
  6. Step 6: Final answer
    x = 692.10

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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.