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Finding the Fourth Proportional to 570.78, 787.67 and 384.50

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Solution

The fourth proportional to 570.78, 787.67 and 384.50 is: 530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 787.67 = 384.50 : x
  2. Step 2: Convert to fraction form
    570.78/787.67 = 384.50/x
  3. Step 3: Cross multiply
    570.78x = 787.67 × 384.50
  4. Step 4: Simplify right side
    570.78x = 302,853.25
  5. Step 5: Solve for x
    x = 302,853.25/570.78
  6. Step 6: Final answer
    x = 530.60

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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.