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Finding the Fourth Proportional to 964.22, 1,444.77 and 501.30

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Solution

The fourth proportional to 964.22, 1,444.77 and 501.30 is: 751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,444.77 = 501.30 : x
  2. Step 2: Convert to fraction form
    964.22/1,444.77 = 501.30/x
  3. Step 3: Cross multiply
    964.22x = 1,444.77 × 501.30
  4. Step 4: Simplify right side
    964.22x = 724,263.20
  5. Step 5: Solve for x
    x = 724,263.20/964.22
  6. Step 6: Final answer
    x = 751.14

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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.