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Finding the Fourth Proportional to 875.22, 1,206.81 and 653.46

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Solution

The fourth proportional to 875.22, 1,206.81 and 653.46 is: 901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.22 : 1,206.81 = 653.46 : x
  2. Step 2: Convert to fraction form
    875.22/1,206.81 = 653.46/x
  3. Step 3: Cross multiply
    875.22x = 1,206.81 × 653.46
  4. Step 4: Simplify right side
    875.22x = 788,602.06
  5. Step 5: Solve for x
    x = 788,602.06/875.22
  6. Step 6: Final answer
    x = 901.03

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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.