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Finding the Fourth Proportional to 1,020.75, 1,408.64 and 606.75

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Solution

The fourth proportional to 1,020.75, 1,408.64 and 606.75 is: 837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.75 : 1,408.64 = 606.75 : x
  2. Step 2: Convert to fraction form
    1,020.75/1,408.64 = 606.75/x
  3. Step 3: Cross multiply
    1,020.75x = 1,408.64 × 606.75
  4. Step 4: Simplify right side
    1,020.75x = 854,689.29
  5. Step 5: Solve for x
    x = 854,689.29/1,020.75
  6. Step 6: Final answer
    x = 837.32

Related Problems

Find fourth proportional to 510.38, 704.32 and 303.38
Half scale
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Double scale
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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.