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Finding the Fourth Proportional to 572.64, 857.88 and 570.48

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Solution

The fourth proportional to 572.64, 857.88 and 570.48 is: 854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.64 : 857.88 = 570.48 : x
  2. Step 2: Convert to fraction form
    572.64/857.88 = 570.48/x
  3. Step 3: Cross multiply
    572.64x = 857.88 × 570.48
  4. Step 4: Simplify right side
    572.64x = 489,403.38
  5. Step 5: Solve for x
    x = 489,403.38/572.64
  6. Step 6: Final answer
    x = 854.64

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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.