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Finding the Fourth Proportional to 572.52, 786.75 and 455.88

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Solution

The fourth proportional to 572.52, 786.75 and 455.88 is: 626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 786.75 = 455.88 : x
  2. Step 2: Convert to fraction form
    572.52/786.75 = 455.88/x
  3. Step 3: Cross multiply
    572.52x = 786.75 × 455.88
  4. Step 4: Simplify right side
    572.52x = 358,663.59
  5. Step 5: Solve for x
    x = 358,663.59/572.52
  6. Step 6: Final answer
    x = 626.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.