Home / 1,430.12-1,973.10-800.55

Finding the Fourth Proportional to 1,430.12, 1,973.10 and 800.55

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Solution

The fourth proportional to 1,430.12, 1,973.10 and 800.55 is: 1,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.12 : 1,973.10 = 800.55 : x
  2. Step 2: Convert to fraction form
    1,430.12/1,973.10 = 800.55/x
  3. Step 3: Cross multiply
    1,430.12x = 1,973.10 × 800.55
  4. Step 4: Simplify right side
    1,430.12x = 1,579,565.21
  5. Step 5: Solve for x
    x = 1,579,565.21/1,430.12
  6. Step 6: Final answer
    x = 1,104.50

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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.