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Finding the Fourth Proportional to 651.08, 975.06 and 534.71

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Solution

The fourth proportional to 651.08, 975.06 and 534.71 is: 800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.08 : 975.06 = 534.71 : x
  2. Step 2: Convert to fraction form
    651.08/975.06 = 534.71/x
  3. Step 3: Cross multiply
    651.08x = 975.06 × 534.71
  4. Step 4: Simplify right side
    651.08x = 521,369.46
  5. Step 5: Solve for x
    x = 521,369.46/651.08
  6. Step 6: Final answer
    x = 800.78

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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.