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Finding the Fourth Proportional to 570.91, 787.71 and 384.49

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Solution

The fourth proportional to 570.91, 787.71 and 384.49 is: 530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.91 : 787.71 = 384.49 : x
  2. Step 2: Convert to fraction form
    570.91/787.71 = 384.49/x
  3. Step 3: Cross multiply
    570.91x = 787.71 × 384.49
  4. Step 4: Simplify right side
    570.91x = 302,866.62
  5. Step 5: Solve for x
    x = 302,866.62/570.91
  6. Step 6: Final answer
    x = 530.50

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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.