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Finding the Fourth Proportional to 568.66, 853.20 and 459.98

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Solution

The fourth proportional to 568.66, 853.20 and 459.98 is: 690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.66 : 853.20 = 459.98 : x
  2. Step 2: Convert to fraction form
    568.66/853.20 = 459.98/x
  3. Step 3: Cross multiply
    568.66x = 853.20 × 459.98
  4. Step 4: Simplify right side
    568.66x = 392,457.07
  5. Step 5: Solve for x
    x = 392,457.07/568.66
  6. Step 6: Final answer
    x = 690.15

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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.