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Finding the Fourth Proportional to 1,020.25, 1,408.07 and 606.25

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Solution

The fourth proportional to 1,020.25, 1,408.07 and 606.25 is: 836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.25 : 1,408.07 = 606.25 : x
  2. Step 2: Convert to fraction form
    1,020.25/1,408.07 = 606.25/x
  3. Step 3: Cross multiply
    1,020.25x = 1,408.07 × 606.25
  4. Step 4: Simplify right side
    1,020.25x = 853,639.41
  5. Step 5: Solve for x
    x = 853,639.41/1,020.25
  6. Step 6: Final answer
    x = 836.70

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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.