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Finding the Fourth Proportional to 654.48, 977.76 and 524.79

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Solution

The fourth proportional to 654.48, 977.76 and 524.79 is: 784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 977.76 = 524.79 : x
  2. Step 2: Convert to fraction form
    654.48/977.76 = 524.79/x
  3. Step 3: Cross multiply
    654.48x = 977.76 × 524.79
  4. Step 4: Simplify right side
    654.48x = 513,118.67
  5. Step 5: Solve for x
    x = 513,118.67/654.48
  6. Step 6: Final answer
    x = 784.01

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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.