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Finding the Fourth Proportional to 962.77, 1,444.47 and 415.39

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Solution

The fourth proportional to 962.77, 1,444.47 and 415.39 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.77 : 1,444.47 = 415.39 : x
  2. Step 2: Convert to fraction form
    962.77/1,444.47 = 415.39/x
  3. Step 3: Cross multiply
    962.77x = 1,444.47 × 415.39
  4. Step 4: Simplify right side
    962.77x = 600,018.39
  5. Step 5: Solve for x
    x = 600,018.39/962.77
  6. Step 6: Final answer
    x = 623.22

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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.