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Finding the Fourth Proportional to 565.77, 838.65 and 557.06

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Solution

The fourth proportional to 565.77, 838.65 and 557.06 is: 825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.77 : 838.65 = 557.06 : x
  2. Step 2: Convert to fraction form
    565.77/838.65 = 557.06/x
  3. Step 3: Cross multiply
    565.77x = 838.65 × 557.06
  4. Step 4: Simplify right side
    565.77x = 467,180.47
  5. Step 5: Solve for x
    x = 467,180.47/565.77
  6. Step 6: Final answer
    x = 825.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.