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Finding the Fourth Proportional to 570.30, 787.01 and 337.42

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Solution

The fourth proportional to 570.30, 787.01 and 337.42 is: 465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.30 : 787.01 = 337.42 : x
  2. Step 2: Convert to fraction form
    570.30/787.01 = 337.42/x
  3. Step 3: Cross multiply
    570.30x = 787.01 × 337.42
  4. Step 4: Simplify right side
    570.30x = 265,552.91
  5. Step 5: Solve for x
    x = 265,552.91/570.30
  6. Step 6: Final answer
    x = 465.64

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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.