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Finding the Fourth Proportional to 530.76, 732.49 and 294.74

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Solution

The fourth proportional to 530.76, 732.49 and 294.74 is: 406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 732.49 = 294.74 : x
  2. Step 2: Convert to fraction form
    530.76/732.49 = 294.74/x
  3. Step 3: Cross multiply
    530.76x = 732.49 × 294.74
  4. Step 4: Simplify right side
    530.76x = 215,890.81
  5. Step 5: Solve for x
    x = 215,890.81/530.76
  6. Step 6: Final answer
    x = 406.75

Related Problems

Find fourth proportional to 265.38, 366.25 and 147.37
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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.