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Finding the Fourth Proportional to 610.53, 842.53 and 330.77

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Solution

The fourth proportional to 610.53, 842.53 and 330.77 is: 456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.53 : 842.53 = 330.77 : x
  2. Step 2: Convert to fraction form
    610.53/842.53 = 330.77/x
  3. Step 3: Cross multiply
    610.53x = 842.53 × 330.77
  4. Step 4: Simplify right side
    610.53x = 278,679.44
  5. Step 5: Solve for x
    x = 278,679.44/610.53
  6. Step 6: Final answer
    x = 456.45

Related Problems

Find fourth proportional to 305.27, 421.27 and 165.38
Half scale
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Double scale
Find fourth proportional to 611.53, 843.91 and 331.77
Similar ratio
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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.