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Finding the Fourth Proportional to 570.30, 854.89 and 310.07

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Solution

The fourth proportional to 570.30, 854.89 and 310.07 is: 464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.30 : 854.89 = 310.07 : x
  2. Step 2: Convert to fraction form
    570.30/854.89 = 310.07/x
  3. Step 3: Cross multiply
    570.30x = 854.89 × 310.07
  4. Step 4: Simplify right side
    570.30x = 265,075.74
  5. Step 5: Solve for x
    x = 265,075.74/570.30
  6. Step 6: Final answer
    x = 464.80

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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.