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Finding the Fourth Proportional to 570.61, 787.33 and 384.37

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Solution

The fourth proportional to 570.61, 787.33 and 384.37 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.61 : 787.33 = 384.37 : x
  2. Step 2: Convert to fraction form
    570.61/787.33 = 384.37/x
  3. Step 3: Cross multiply
    570.61x = 787.33 × 384.37
  4. Step 4: Simplify right side
    570.61x = 302,624.54
  5. Step 5: Solve for x
    x = 302,624.54/570.61
  6. Step 6: Final answer
    x = 530.35

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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.