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Finding the Fourth Proportional to 476.32, 711.40 and 473.22

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Solution

The fourth proportional to 476.32, 711.40 and 473.22 is: 706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.32 : 711.40 = 473.22 : x
  2. Step 2: Convert to fraction form
    476.32/711.40 = 473.22/x
  3. Step 3: Cross multiply
    476.32x = 711.40 × 473.22
  4. Step 4: Simplify right side
    476.32x = 336,648.71
  5. Step 5: Solve for x
    x = 336,648.71/476.32
  6. Step 6: Final answer
    x = 706.77

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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.