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Finding the Fourth Proportional to 929.22, 1,282.40 and 530.83

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Solution

The fourth proportional to 929.22, 1,282.40 and 530.83 is: 732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.22 : 1,282.40 = 530.83 : x
  2. Step 2: Convert to fraction form
    929.22/1,282.40 = 530.83/x
  3. Step 3: Cross multiply
    929.22x = 1,282.40 × 530.83
  4. Step 4: Simplify right side
    929.22x = 680,736.39
  5. Step 5: Solve for x
    x = 680,736.39/929.22
  6. Step 6: Final answer
    x = 732.59

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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.