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Finding the Fourth Proportional to 929.48, 1,282.74 and 515.48

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Solution

The fourth proportional to 929.48, 1,282.74 and 515.48 is: 711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.48 : 1,282.74 = 515.48 : x
  2. Step 2: Convert to fraction form
    929.48/1,282.74 = 515.48/x
  3. Step 3: Cross multiply
    929.48x = 1,282.74 × 515.48
  4. Step 4: Simplify right side
    929.48x = 661,226.82
  5. Step 5: Solve for x
    x = 661,226.82/929.48
  6. Step 6: Final answer
    x = 711.39

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Double scale
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1.5x scale

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.