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Finding the Fourth Proportional to 656.25, 900.19 and 642.58

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Solution

The fourth proportional to 656.25, 900.19 and 642.58 is: 881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 900.19 = 642.58 : x
  2. Step 2: Convert to fraction form
    656.25/900.19 = 642.58/x
  3. Step 3: Cross multiply
    656.25x = 900.19 × 642.58
  4. Step 4: Simplify right side
    656.25x = 578,439.59
  5. Step 5: Solve for x
    x = 578,439.59/656.25
  6. Step 6: Final answer
    x = 881.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.