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Finding the Fourth Proportional to 374.57, 564.86 and 369.44

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Solution

The fourth proportional to 374.57, 564.86 and 369.44 is: 557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.57 : 564.86 = 369.44 : x
  2. Step 2: Convert to fraction form
    374.57/564.86 = 369.44/x
  3. Step 3: Cross multiply
    374.57x = 564.86 × 369.44
  4. Step 4: Simplify right side
    374.57x = 208,681.44
  5. Step 5: Solve for x
    x = 208,681.44/374.57
  6. Step 6: Final answer
    x = 557.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.