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Finding the Fourth Proportional to 650.68, 976.14 and 325.24

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Solution

The fourth proportional to 650.68, 976.14 and 325.24 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.68 : 976.14 = 325.24 : x
  2. Step 2: Convert to fraction form
    650.68/976.14 = 325.24/x
  3. Step 3: Cross multiply
    650.68x = 976.14 × 325.24
  4. Step 4: Simplify right side
    650.68x = 317,479.77
  5. Step 5: Solve for x
    x = 317,479.77/650.68
  6. Step 6: Final answer
    x = 487.92

Related Problems

Find fourth proportional to 325.34, 488.07 and 162.62
Half scale
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Double scale
Find fourth proportional to 651.68, 977.64 and 326.24
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.