Home / 1,430.16-1,973.49-800.48

Finding the Fourth Proportional to 1,430.16, 1,973.49 and 800.48

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Solution

The fourth proportional to 1,430.16, 1,973.49 and 800.48 is: 1,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.16 : 1,973.49 = 800.48 : x
  2. Step 2: Convert to fraction form
    1,430.16/1,973.49 = 800.48/x
  3. Step 3: Cross multiply
    1,430.16x = 1,973.49 × 800.48
  4. Step 4: Simplify right side
    1,430.16x = 1,579,743.46
  5. Step 5: Solve for x
    x = 1,579,743.46/1,430.16
  6. Step 6: Final answer
    x = 1,104.60

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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.