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Finding the Fourth Proportional to 570.32, 787.08 and 395.60

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Solution

The fourth proportional to 570.32, 787.08 and 395.60 is: 545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.32 : 787.08 = 395.60 : x
  2. Step 2: Convert to fraction form
    570.32/787.08 = 395.60/x
  3. Step 3: Cross multiply
    570.32x = 787.08 × 395.60
  4. Step 4: Simplify right side
    570.32x = 311,368.85
  5. Step 5: Solve for x
    x = 311,368.85/570.32
  6. Step 6: Final answer
    x = 545.95

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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.