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Finding the Fourth Proportional to 890.78, 1,335.90 and 457.88

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Solution

The fourth proportional to 890.78, 1,335.90 and 457.88 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.78 : 1,335.90 = 457.88 : x
  2. Step 2: Convert to fraction form
    890.78/1,335.90 = 457.88/x
  3. Step 3: Cross multiply
    890.78x = 1,335.90 × 457.88
  4. Step 4: Simplify right side
    890.78x = 611,681.89
  5. Step 5: Solve for x
    x = 611,681.89/890.78
  6. Step 6: Final answer
    x = 686.68

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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.