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Finding the Fourth Proportional to 972.51, 1,457.80 and 840.21

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Solution

The fourth proportional to 972.51, 1,457.80 and 840.21 is: 1,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.51 : 1,457.80 = 840.21 : x
  2. Step 2: Convert to fraction form
    972.51/1,457.80 = 840.21/x
  3. Step 3: Cross multiply
    972.51x = 1,457.80 × 840.21
  4. Step 4: Simplify right side
    972.51x = 1,224,862.87
  5. Step 5: Solve for x
    x = 1,224,862.87/972.51
  6. Step 6: Final answer
    x = 1,259.49

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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.