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Finding the Fourth Proportional to 530.76, 732.41 and 294.69

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Solution

The fourth proportional to 530.76, 732.41 and 294.69 is: 406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 732.41 = 294.69 : x
  2. Step 2: Convert to fraction form
    530.76/732.41 = 294.69/x
  3. Step 3: Cross multiply
    530.76x = 732.41 × 294.69
  4. Step 4: Simplify right side
    530.76x = 215,833.94
  5. Step 5: Solve for x
    x = 215,833.94/530.76
  6. Step 6: Final answer
    x = 406.65

Related Problems

Find fourth proportional to 265.38, 366.21 and 147.34
Half scale
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Double scale
Find fourth proportional to 531.76, 733.79 and 295.69
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.