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Finding the Fourth Proportional to 623, 928.99 and 578.36

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Solution

The fourth proportional to 623, 928.99 and 578.36 is: 862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    623 : 928.99 = 578.36 : x
  2. Step 2: Convert to fraction form
    623/928.99 = 578.36/x
  3. Step 3: Cross multiply
    623x = 928.99 × 578.36
  4. Step 4: Simplify right side
    623x = 537,290.66
  5. Step 5: Solve for x
    x = 537,290.66/623
  6. Step 6: Final answer
    x = 862.42

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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.