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Finding the Fourth Proportional to 570.24, 786.24 and 452.16

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Solution

The fourth proportional to 570.24, 786.24 and 452.16 is: 623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 786.24 = 452.16 : x
  2. Step 2: Convert to fraction form
    570.24/786.24 = 452.16/x
  3. Step 3: Cross multiply
    570.24x = 786.24 × 452.16
  4. Step 4: Simplify right side
    570.24x = 355,506.28
  5. Step 5: Solve for x
    x = 355,506.28/570.24
  6. Step 6: Final answer
    x = 623.43

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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.