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Finding the Fourth Proportional to 1,530.53, 2,295.72 and 434.76

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Solution

The fourth proportional to 1,530.53, 2,295.72 and 434.76 is: 652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.53 : 2,295.72 = 434.76 : x
  2. Step 2: Convert to fraction form
    1,530.53/2,295.72 = 434.76/x
  3. Step 3: Cross multiply
    1,530.53x = 2,295.72 × 434.76
  4. Step 4: Simplify right side
    1,530.53x = 998,087.23
  5. Step 5: Solve for x
    x = 998,087.23/1,530.53
  6. Step 6: Final answer
    x = 652.12

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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.