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Finding the Fourth Proportional to 1,021.13, 1,409.17 and 601.50

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Solution

The fourth proportional to 1,021.13, 1,409.17 and 601.50 is: 830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.13 : 1,409.17 = 601.50 : x
  2. Step 2: Convert to fraction form
    1,021.13/1,409.17 = 601.50/x
  3. Step 3: Cross multiply
    1,021.13x = 1,409.17 × 601.50
  4. Step 4: Simplify right side
    1,021.13x = 847,615.76
  5. Step 5: Solve for x
    x = 847,615.76/1,021.13
  6. Step 6: Final answer
    x = 830.08

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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.