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Finding the Fourth Proportional to 632.80, 946.77 and 471.21

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Solution

The fourth proportional to 632.80, 946.77 and 471.21 is: 705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.80 : 946.77 = 471.21 : x
  2. Step 2: Convert to fraction form
    632.80/946.77 = 471.21/x
  3. Step 3: Cross multiply
    632.80x = 946.77 × 471.21
  4. Step 4: Simplify right side
    632.80x = 446,127.49
  5. Step 5: Solve for x
    x = 446,127.49/632.80
  6. Step 6: Final answer
    x = 705.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.