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Finding the Fourth Proportional to 970.23, 1,454.12 and 840.23

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Solution

The fourth proportional to 970.23, 1,454.12 and 840.23 is: 1,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.23 : 1,454.12 = 840.23 : x
  2. Step 2: Convert to fraction form
    970.23/1,454.12 = 840.23/x
  3. Step 3: Cross multiply
    970.23x = 1,454.12 × 840.23
  4. Step 4: Simplify right side
    970.23x = 1,221,790.08
  5. Step 5: Solve for x
    x = 1,221,790.08/970.23
  6. Step 6: Final answer
    x = 1,259.28

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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.