Home / 1,020.63-1,531.23-924.24

Finding the Fourth Proportional to 1,020.63, 1,531.23 and 924.24

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Solution

The fourth proportional to 1,020.63, 1,531.23 and 924.24 is: 1,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.63 : 1,531.23 = 924.24 : x
  2. Step 2: Convert to fraction form
    1,020.63/1,531.23 = 924.24/x
  3. Step 3: Cross multiply
    1,020.63x = 1,531.23 × 924.24
  4. Step 4: Simplify right side
    1,020.63x = 1,415,224.02
  5. Step 5: Solve for x
    x = 1,415,224.02/1,020.63
  6. Step 6: Final answer
    x = 1,386.62

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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.