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Finding the Fourth Proportional to 647.66, 971.94 and 501.74

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Solution

The fourth proportional to 647.66, 971.94 and 501.74 is: 752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.66 : 971.94 = 501.74 : x
  2. Step 2: Convert to fraction form
    647.66/971.94 = 501.74/x
  3. Step 3: Cross multiply
    647.66x = 971.94 × 501.74
  4. Step 4: Simplify right side
    647.66x = 487,661.18
  5. Step 5: Solve for x
    x = 487,661.18/647.66
  6. Step 6: Final answer
    x = 752.96

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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.