Home / 1,032.23-1,547.60-338.68

Finding the Fourth Proportional to 1,032.23, 1,547.60 and 338.68

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Solution

The fourth proportional to 1,032.23, 1,547.60 and 338.68 is: 507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.23 : 1,547.60 = 338.68 : x
  2. Step 2: Convert to fraction form
    1,032.23/1,547.60 = 338.68/x
  3. Step 3: Cross multiply
    1,032.23x = 1,547.60 × 338.68
  4. Step 4: Simplify right side
    1,032.23x = 524,131.74
  5. Step 5: Solve for x
    x = 524,131.74/1,032.23
  6. Step 6: Final answer
    x = 507.77

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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.