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Finding the Fourth Proportional to 875.24, 1,312.25 and 406.46

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Solution

The fourth proportional to 875.24, 1,312.25 and 406.46 is: 609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.24 : 1,312.25 = 406.46 : x
  2. Step 2: Convert to fraction form
    875.24/1,312.25 = 406.46/x
  3. Step 3: Cross multiply
    875.24x = 1,312.25 × 406.46
  4. Step 4: Simplify right side
    875.24x = 533,370.57
  5. Step 5: Solve for x
    x = 533,370.57/875.24
  6. Step 6: Final answer
    x = 609.40

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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.