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Finding the Fourth Proportional to 578.81, 864.80 and 429.93

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Solution

The fourth proportional to 578.81, 864.80 and 429.93 is: 642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 864.80 = 429.93 : x
  2. Step 2: Convert to fraction form
    578.81/864.80 = 429.93/x
  3. Step 3: Cross multiply
    578.81x = 864.80 × 429.93
  4. Step 4: Simplify right side
    578.81x = 371,801.31
  5. Step 5: Solve for x
    x = 371,801.31/578.81
  6. Step 6: Final answer
    x = 642.36

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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.