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Finding the Fourth Proportional to 890.07, 1,335.02 and 342.10

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Solution

The fourth proportional to 890.07, 1,335.02 and 342.10 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.07 : 1,335.02 = 342.10 : x
  2. Step 2: Convert to fraction form
    890.07/1,335.02 = 342.10/x
  3. Step 3: Cross multiply
    890.07x = 1,335.02 × 342.10
  4. Step 4: Simplify right side
    890.07x = 456,710.34
  5. Step 5: Solve for x
    x = 456,710.34/890.07
  6. Step 6: Final answer
    x = 513.12

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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.