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Finding the Fourth Proportional to 651.89, 975.95 and 507.17

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Solution

The fourth proportional to 651.89, 975.95 and 507.17 is: 759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.89 : 975.95 = 507.17 : x
  2. Step 2: Convert to fraction form
    651.89/975.95 = 507.17/x
  3. Step 3: Cross multiply
    651.89x = 975.95 × 507.17
  4. Step 4: Simplify right side
    651.89x = 494,970.03
  5. Step 5: Solve for x
    x = 494,970.03/651.89
  6. Step 6: Final answer
    x = 759.28

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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.