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Finding the Fourth Proportional to 573.60, 854.04 and 570.40

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Solution

The fourth proportional to 573.60, 854.04 and 570.40 is: 849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.60 : 854.04 = 570.40 : x
  2. Step 2: Convert to fraction form
    573.60/854.04 = 570.40/x
  3. Step 3: Cross multiply
    573.60x = 854.04 × 570.40
  4. Step 4: Simplify right side
    573.60x = 487,144.42
  5. Step 5: Solve for x
    x = 487,144.42/573.60
  6. Step 6: Final answer
    x = 849.28

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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.