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Finding the Fourth Proportional to 530.69, 732.32 and 294.65

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Solution

The fourth proportional to 530.69, 732.32 and 294.65 is: 406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 732.32 = 294.65 : x
  2. Step 2: Convert to fraction form
    530.69/732.32 = 294.65/x
  3. Step 3: Cross multiply
    530.69x = 732.32 × 294.65
  4. Step 4: Simplify right side
    530.69x = 215,778.09
  5. Step 5: Solve for x
    x = 215,778.09/530.69
  6. Step 6: Final answer
    x = 406.60

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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.