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Finding the Fourth Proportional to 561.42, 837.30 and 546

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Solution

The fourth proportional to 561.42, 837.30 and 546 is: 814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 837.30 = 546 : x
  2. Step 2: Convert to fraction form
    561.42/837.30 = 546/x
  3. Step 3: Cross multiply
    561.42x = 837.30 × 546
  4. Step 4: Simplify right side
    561.42x = 457,165.80
  5. Step 5: Solve for x
    x = 457,165.80/561.42
  6. Step 6: Final answer
    x = 814.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.