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Finding the Fourth Proportional to 647.63, 890.28 and 557.57

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Solution

The fourth proportional to 647.63, 890.28 and 557.57 is: 766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.63 : 890.28 = 557.57 : x
  2. Step 2: Convert to fraction form
    647.63/890.28 = 557.57/x
  3. Step 3: Cross multiply
    647.63x = 890.28 × 557.57
  4. Step 4: Simplify right side
    647.63x = 496,397.14
  5. Step 5: Solve for x
    x = 496,397.14/647.63
  6. Step 6: Final answer
    x = 766.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.