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Finding the Fourth Proportional to 557.61, 769.60 and 468.98

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Solution

The fourth proportional to 557.61, 769.60 and 468.98 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.61 : 769.60 = 468.98 : x
  2. Step 2: Convert to fraction form
    557.61/769.60 = 468.98/x
  3. Step 3: Cross multiply
    557.61x = 769.60 × 468.98
  4. Step 4: Simplify right side
    557.61x = 360,927.01
  5. Step 5: Solve for x
    x = 360,927.01/557.61
  6. Step 6: Final answer
    x = 647.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.