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Finding the Fourth Proportional to 875.23, 1,312.69 and 290.17

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Solution

The fourth proportional to 875.23, 1,312.69 and 290.17 is: 435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,312.69 = 290.17 : x
  2. Step 2: Convert to fraction form
    875.23/1,312.69 = 290.17/x
  3. Step 3: Cross multiply
    875.23x = 1,312.69 × 290.17
  4. Step 4: Simplify right side
    875.23x = 380,903.26
  5. Step 5: Solve for x
    x = 380,903.26/875.23
  6. Step 6: Final answer
    x = 435.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.