Home / 1,430.13-1,973.37-800.57

Finding the Fourth Proportional to 1,430.13, 1,973.37 and 800.57

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Solution

The fourth proportional to 1,430.13, 1,973.37 and 800.57 is: 1,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.13 : 1,973.37 = 800.57 : x
  2. Step 2: Convert to fraction form
    1,430.13/1,973.37 = 800.57/x
  3. Step 3: Cross multiply
    1,430.13x = 1,973.37 × 800.57
  4. Step 4: Simplify right side
    1,430.13x = 1,579,820.82
  5. Step 5: Solve for x
    x = 1,579,820.82/1,430.13
  6. Step 6: Final answer
    x = 1,104.67

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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.