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Finding the Fourth Proportional to 846.48, 1,270.21 and 456.48

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Solution

The fourth proportional to 846.48, 1,270.21 and 456.48 is: 684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.48 : 1,270.21 = 456.48 : x
  2. Step 2: Convert to fraction form
    846.48/1,270.21 = 456.48/x
  3. Step 3: Cross multiply
    846.48x = 1,270.21 × 456.48
  4. Step 4: Simplify right side
    846.48x = 579,827.56
  5. Step 5: Solve for x
    x = 579,827.56/846.48
  6. Step 6: Final answer
    x = 684.98

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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.