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Finding the Fourth Proportional to 571.34, 787.93 and 424.34

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Solution

The fourth proportional to 571.34, 787.93 and 424.34 is: 585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.34 : 787.93 = 424.34 : x
  2. Step 2: Convert to fraction form
    571.34/787.93 = 424.34/x
  3. Step 3: Cross multiply
    571.34x = 787.93 × 424.34
  4. Step 4: Simplify right side
    571.34x = 334,350.22
  5. Step 5: Solve for x
    x = 334,350.22/571.34
  6. Step 6: Final answer
    x = 585.20

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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.