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Finding the Fourth Proportional to 656.83, 903.72 and 640.63

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Solution

The fourth proportional to 656.83, 903.72 and 640.63 is: 881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.83 : 903.72 = 640.63 : x
  2. Step 2: Convert to fraction form
    656.83/903.72 = 640.63/x
  3. Step 3: Cross multiply
    656.83x = 903.72 × 640.63
  4. Step 4: Simplify right side
    656.83x = 578,950.14
  5. Step 5: Solve for x
    x = 578,950.14/656.83
  6. Step 6: Final answer
    x = 881.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.