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Finding the Fourth Proportional to 875.83, 1,312.99 and 355.81

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Solution

The fourth proportional to 875.83, 1,312.99 and 355.81 is: 533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.83 : 1,312.99 = 355.81 : x
  2. Step 2: Convert to fraction form
    875.83/1,312.99 = 355.81/x
  3. Step 3: Cross multiply
    875.83x = 1,312.99 × 355.81
  4. Step 4: Simplify right side
    875.83x = 467,174.97
  5. Step 5: Solve for x
    x = 467,174.97/875.83
  6. Step 6: Final answer
    x = 533.41

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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.