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Finding the Fourth Proportional to 972.26, 1,457.34 and 479.01

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Solution

The fourth proportional to 972.26, 1,457.34 and 479.01 is: 718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.26 : 1,457.34 = 479.01 : x
  2. Step 2: Convert to fraction form
    972.26/1,457.34 = 479.01/x
  3. Step 3: Cross multiply
    972.26x = 1,457.34 × 479.01
  4. Step 4: Simplify right side
    972.26x = 698,080.43
  5. Step 5: Solve for x
    x = 698,080.43/972.26
  6. Step 6: Final answer
    x = 718.00

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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.