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Finding the Fourth Proportional to 929.81, 1,283.45 and 580.50

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Solution

The fourth proportional to 929.81, 1,283.45 and 580.50 is: 801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.81 : 1,283.45 = 580.50 : x
  2. Step 2: Convert to fraction form
    929.81/1,283.45 = 580.50/x
  3. Step 3: Cross multiply
    929.81x = 1,283.45 × 580.50
  4. Step 4: Simplify right side
    929.81x = 745,039.82
  5. Step 5: Solve for x
    x = 745,039.82/929.81
  6. Step 6: Final answer
    x = 801.28

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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.