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Finding the Fourth Proportional to 572.10, 787.77 and 540.06

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Solution

The fourth proportional to 572.10, 787.77 and 540.06 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.10 : 787.77 = 540.06 : x
  2. Step 2: Convert to fraction form
    572.10/787.77 = 540.06/x
  3. Step 3: Cross multiply
    572.10x = 787.77 × 540.06
  4. Step 4: Simplify right side
    572.10x = 425,443.07
  5. Step 5: Solve for x
    x = 425,443.07/572.10
  6. Step 6: Final answer
    x = 743.65

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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.