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Finding the Fourth Proportional to 1,430.05, 1,973.73 and 840.62

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Solution

The fourth proportional to 1,430.05, 1,973.73 and 840.62 is: 1,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.05 : 1,973.73 = 840.62 : x
  2. Step 2: Convert to fraction form
    1,430.05/1,973.73 = 840.62/x
  3. Step 3: Cross multiply
    1,430.05x = 1,973.73 × 840.62
  4. Step 4: Simplify right side
    1,430.05x = 1,659,142.84
  5. Step 5: Solve for x
    x = 1,659,142.84/1,430.05
  6. Step 6: Final answer
    x = 1,160.20

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1.5x scale

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.