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Finding the Fourth Proportional to 890.04, 1,335.18 and 312.78

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Solution

The fourth proportional to 890.04, 1,335.18 and 312.78 is: 469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.04 : 1,335.18 = 312.78 : x
  2. Step 2: Convert to fraction form
    890.04/1,335.18 = 312.78/x
  3. Step 3: Cross multiply
    890.04x = 1,335.18 × 312.78
  4. Step 4: Simplify right side
    890.04x = 417,617.60
  5. Step 5: Solve for x
    x = 417,617.60/890.04
  6. Step 6: Final answer
    x = 469.21

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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.