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Finding the Fourth Proportional to 570.98, 854.93 and 309.76

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Solution

The fourth proportional to 570.98, 854.93 and 309.76 is: 463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.98 : 854.93 = 309.76 : x
  2. Step 2: Convert to fraction form
    570.98/854.93 = 309.76/x
  3. Step 3: Cross multiply
    570.98x = 854.93 × 309.76
  4. Step 4: Simplify right side
    570.98x = 264,821.75
  5. Step 5: Solve for x
    x = 264,821.75/570.98
  6. Step 6: Final answer
    x = 463.80

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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.