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Finding the Fourth Proportional to 962.10, 1,442.88 and 384.84

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Solution

The fourth proportional to 962.10, 1,442.88 and 384.84 is: 577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.10 : 1,442.88 = 384.84 : x
  2. Step 2: Convert to fraction form
    962.10/1,442.88 = 384.84/x
  3. Step 3: Cross multiply
    962.10x = 1,442.88 × 384.84
  4. Step 4: Simplify right side
    962.10x = 555,277.94
  5. Step 5: Solve for x
    x = 555,277.94/962.10
  6. Step 6: Final answer
    x = 577.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.