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Finding the Fourth Proportional to 1,060.75, 1,464.15 and 746.11

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Solution

The fourth proportional to 1,060.75, 1,464.15 and 746.11 is: 1,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.75 : 1,464.15 = 746.11 : x
  2. Step 2: Convert to fraction form
    1,060.75/1,464.15 = 746.11/x
  3. Step 3: Cross multiply
    1,060.75x = 1,464.15 × 746.11
  4. Step 4: Simplify right side
    1,060.75x = 1,092,416.96
  5. Step 5: Solve for x
    x = 1,092,416.96/1,060.75
  6. Step 6: Final answer
    x = 1,029.85

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Find fourth proportional to 530.38, 732.08 and 373.06
Half scale
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Double scale
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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.