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Finding the Fourth Proportional to 1,530.69, 2,296.12 and 434.97

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Solution

The fourth proportional to 1,530.69, 2,296.12 and 434.97 is: 652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.69 : 2,296.12 = 434.97 : x
  2. Step 2: Convert to fraction form
    1,530.69/2,296.12 = 434.97/x
  3. Step 3: Cross multiply
    1,530.69x = 2,296.12 × 434.97
  4. Step 4: Simplify right side
    1,530.69x = 998,743.32
  5. Step 5: Solve for x
    x = 998,743.32/1,530.69
  6. Step 6: Final answer
    x = 652.48

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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.