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Finding the Fourth Proportional to 651.02, 971.37 and 611.63

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Solution

The fourth proportional to 651.02, 971.37 and 611.63 is: 912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.02 : 971.37 = 611.63 : x
  2. Step 2: Convert to fraction form
    651.02/971.37 = 611.63/x
  3. Step 3: Cross multiply
    651.02x = 971.37 × 611.63
  4. Step 4: Simplify right side
    651.02x = 594,114.18
  5. Step 5: Solve for x
    x = 594,114.18/651.02
  6. Step 6: Final answer
    x = 912.60

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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.