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Finding the Fourth Proportional to 560.61, 836.69 and 546.03

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Solution

The fourth proportional to 560.61, 836.69 and 546.03 is: 814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.61 : 836.69 = 546.03 : x
  2. Step 2: Convert to fraction form
    560.61/836.69 = 546.03/x
  3. Step 3: Cross multiply
    560.61x = 836.69 × 546.03
  4. Step 4: Simplify right side
    560.61x = 456,855.11
  5. Step 5: Solve for x
    x = 456,855.11/560.61
  6. Step 6: Final answer
    x = 814.93

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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.