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Finding the Fourth Proportional to 645.63, 971.90 and 556.32

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Solution

The fourth proportional to 645.63, 971.90 and 556.32 is: 837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 971.90 = 556.32 : x
  2. Step 2: Convert to fraction form
    645.63/971.90 = 556.32/x
  3. Step 3: Cross multiply
    645.63x = 971.90 × 556.32
  4. Step 4: Simplify right side
    645.63x = 540,684.63
  5. Step 5: Solve for x
    x = 540,684.63/645.63
  6. Step 6: Final answer
    x = 837.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.