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Finding the Fourth Proportional to 654.72, 977.77 and 524.91

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Solution

The fourth proportional to 654.72, 977.77 and 524.91 is: 783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.72 : 977.77 = 524.91 : x
  2. Step 2: Convert to fraction form
    654.72/977.77 = 524.91/x
  3. Step 3: Cross multiply
    654.72x = 977.77 × 524.91
  4. Step 4: Simplify right side
    654.72x = 513,241.25
  5. Step 5: Solve for x
    x = 513,241.25/654.72
  6. Step 6: Final answer
    x = 783.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.