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Finding the Fourth Proportional to 572.52, 786.65 and 547.08

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Solution

The fourth proportional to 572.52, 786.65 and 547.08 is: 751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 786.65 = 547.08 : x
  2. Step 2: Convert to fraction form
    572.52/786.65 = 547.08/x
  3. Step 3: Cross multiply
    572.52x = 786.65 × 547.08
  4. Step 4: Simplify right side
    572.52x = 430,360.48
  5. Step 5: Solve for x
    x = 430,360.48/572.52
  6. Step 6: Final answer
    x = 751.70

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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.