Home / 1,021.83-1,410.45-602.15

Finding the Fourth Proportional to 1,021.83, 1,410.45 and 602.15

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Solution

The fourth proportional to 1,021.83, 1,410.45 and 602.15 is: 831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.83 : 1,410.45 = 602.15 : x
  2. Step 2: Convert to fraction form
    1,021.83/1,410.45 = 602.15/x
  3. Step 3: Cross multiply
    1,021.83x = 1,410.45 × 602.15
  4. Step 4: Simplify right side
    1,021.83x = 849,299.46
  5. Step 5: Solve for x
    x = 849,299.46/1,021.83
  6. Step 6: Final answer
    x = 831.16

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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.