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Finding the Fourth Proportional to 570.70, 787.29 and 384.25

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Solution

The fourth proportional to 570.70, 787.29 and 384.25 is: 530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.70 : 787.29 = 384.25 : x
  2. Step 2: Convert to fraction form
    570.70/787.29 = 384.25/x
  3. Step 3: Cross multiply
    570.70x = 787.29 × 384.25
  4. Step 4: Simplify right side
    570.70x = 302,516.18
  5. Step 5: Solve for x
    x = 302,516.18/570.70
  6. Step 6: Final answer
    x = 530.08

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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.