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Finding the Fourth Proportional to 651.77, 978.15 and 522.91

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Solution

The fourth proportional to 651.77, 978.15 and 522.91 is: 784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.77 : 978.15 = 522.91 : x
  2. Step 2: Convert to fraction form
    651.77/978.15 = 522.91/x
  3. Step 3: Cross multiply
    651.77x = 978.15 × 522.91
  4. Step 4: Simplify right side
    651.77x = 511,484.42
  5. Step 5: Solve for x
    x = 511,484.42/651.77
  6. Step 6: Final answer
    x = 784.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.