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Finding the Fourth Proportional to 875.57, 1,208.27 and 652.50

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Solution

The fourth proportional to 875.57, 1,208.27 and 652.50 is: 900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.57 : 1,208.27 = 652.50 : x
  2. Step 2: Convert to fraction form
    875.57/1,208.27 = 652.50/x
  3. Step 3: Cross multiply
    875.57x = 1,208.27 × 652.50
  4. Step 4: Simplify right side
    875.57x = 788,392.91
  5. Step 5: Solve for x
    x = 788,392.91/875.57
  6. Step 6: Final answer
    x = 900.44

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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.