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Finding the Fourth Proportional to 577.90, 862.48 and 530.65

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Solution

The fourth proportional to 577.90, 862.48 and 530.65 is: 791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.90 : 862.48 = 530.65 : x
  2. Step 2: Convert to fraction form
    577.90/862.48 = 530.65/x
  3. Step 3: Cross multiply
    577.90x = 862.48 × 530.65
  4. Step 4: Simplify right side
    577.90x = 457,675.01
  5. Step 5: Solve for x
    x = 457,675.01/577.90
  6. Step 6: Final answer
    x = 791.96

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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.