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Finding the Fourth Proportional to 1,088, 1,630.47 and 471.23

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Solution

The fourth proportional to 1,088, 1,630.47 and 471.23 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088 : 1,630.47 = 471.23 : x
  2. Step 2: Convert to fraction form
    1,088/1,630.47 = 471.23/x
  3. Step 3: Cross multiply
    1,088x = 1,630.47 × 471.23
  4. Step 4: Simplify right side
    1,088x = 768,326.38
  5. Step 5: Solve for x
    x = 768,326.38/1,088
  6. Step 6: Final answer
    x = 706.18

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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.