Home / 1,530.86-2,296.19-435.14

Finding the Fourth Proportional to 1,530.86, 2,296.19 and 435.14

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Solution

The fourth proportional to 1,530.86, 2,296.19 and 435.14 is: 652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.86 : 2,296.19 = 435.14 : x
  2. Step 2: Convert to fraction form
    1,530.86/2,296.19 = 435.14/x
  3. Step 3: Cross multiply
    1,530.86x = 2,296.19 × 435.14
  4. Step 4: Simplify right side
    1,530.86x = 999,152.64
  5. Step 5: Solve for x
    x = 999,152.64/1,530.86
  6. Step 6: Final answer
    x = 652.67

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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.