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Finding the Fourth Proportional to 530.80, 732.12 and 406.19

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Solution

The fourth proportional to 530.80, 732.12 and 406.19 is: 560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 732.12 = 406.19 : x
  2. Step 2: Convert to fraction form
    530.80/732.12 = 406.19/x
  3. Step 3: Cross multiply
    530.80x = 732.12 × 406.19
  4. Step 4: Simplify right side
    530.80x = 297,379.82
  5. Step 5: Solve for x
    x = 297,379.82/530.80
  6. Step 6: Final answer
    x = 560.25

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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.