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Finding the Fourth Proportional to 1,530.71, 2,295.71 and 435.05

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Solution

The fourth proportional to 1,530.71, 2,295.71 and 435.05 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.71 : 2,295.71 = 435.05 : x
  2. Step 2: Convert to fraction form
    1,530.71/2,295.71 = 435.05/x
  3. Step 3: Cross multiply
    1,530.71x = 2,295.71 × 435.05
  4. Step 4: Simplify right side
    1,530.71x = 998,738.24
  5. Step 5: Solve for x
    x = 998,738.24/1,530.71
  6. Step 6: Final answer
    x = 652.47

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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.