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Finding the Fourth Proportional to 557.64, 837.18 and 472.68

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Solution

The fourth proportional to 557.64, 837.18 and 472.68 is: 709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.64 : 837.18 = 472.68 : x
  2. Step 2: Convert to fraction form
    557.64/837.18 = 472.68/x
  3. Step 3: Cross multiply
    557.64x = 837.18 × 472.68
  4. Step 4: Simplify right side
    557.64x = 395,718.24
  5. Step 5: Solve for x
    x = 395,718.24/557.64
  6. Step 6: Final answer
    x = 709.63

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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.