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Finding the Fourth Proportional to 570.42, 788.16 and 440.55

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Solution

The fourth proportional to 570.42, 788.16 and 440.55 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 788.16 = 440.55 : x
  2. Step 2: Convert to fraction form
    570.42/788.16 = 440.55/x
  3. Step 3: Cross multiply
    570.42x = 788.16 × 440.55
  4. Step 4: Simplify right side
    570.42x = 347,223.89
  5. Step 5: Solve for x
    x = 347,223.89/570.42
  6. Step 6: Final answer
    x = 608.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.