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Finding the Fourth Proportional to 476.04, 710.76 and 420.84

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Solution

The fourth proportional to 476.04, 710.76 and 420.84 is: 628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.04 : 710.76 = 420.84 : x
  2. Step 2: Convert to fraction form
    476.04/710.76 = 420.84/x
  3. Step 3: Cross multiply
    476.04x = 710.76 × 420.84
  4. Step 4: Simplify right side
    476.04x = 299,116.24
  5. Step 5: Solve for x
    x = 299,116.24/476.04
  6. Step 6: Final answer
    x = 628.34

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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.