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Finding the Fourth Proportional to 645.40, 968.56 and 234.89

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Solution

The fourth proportional to 645.40, 968.56 and 234.89 is: 352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.40 : 968.56 = 234.89 : x
  2. Step 2: Convert to fraction form
    645.40/968.56 = 234.89/x
  3. Step 3: Cross multiply
    645.40x = 968.56 × 234.89
  4. Step 4: Simplify right side
    645.40x = 227,499.63
  5. Step 5: Solve for x
    x = 227,499.63/645.40
  6. Step 6: Final answer
    x = 352.50

Related Problems

Find fourth proportional to 322.70, 484.28 and 117.44
Half scale
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Double scale
Find fourth proportional to 646.40, 970.06 and 235.89
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.