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Finding the Fourth Proportional to 656.57, 906.77 and 652.03

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Solution

The fourth proportional to 656.57, 906.77 and 652.03 is: 900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.57 : 906.77 = 652.03 : x
  2. Step 2: Convert to fraction form
    656.57/906.77 = 652.03/x
  3. Step 3: Cross multiply
    656.57x = 906.77 × 652.03
  4. Step 4: Simplify right side
    656.57x = 591,240.61
  5. Step 5: Solve for x
    x = 591,240.61/656.57
  6. Step 6: Final answer
    x = 900.50

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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.