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Finding the Fourth Proportional to 875.31, 1,312.95 and 412.84

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Solution

The fourth proportional to 875.31, 1,312.95 and 412.84 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.31 : 1,312.95 = 412.84 : x
  2. Step 2: Convert to fraction form
    875.31/1,312.95 = 412.84/x
  3. Step 3: Cross multiply
    875.31x = 1,312.95 × 412.84
  4. Step 4: Simplify right side
    875.31x = 542,031.71
  5. Step 5: Solve for x
    x = 542,031.71/875.31
  6. Step 6: Final answer
    x = 619.25

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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.