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Finding the Fourth Proportional to 972.36, 1,458.70 and 459.08

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Solution

The fourth proportional to 972.36, 1,458.70 and 459.08 is: 688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.36 : 1,458.70 = 459.08 : x
  2. Step 2: Convert to fraction form
    972.36/1,458.70 = 459.08/x
  3. Step 3: Cross multiply
    972.36x = 1,458.70 × 459.08
  4. Step 4: Simplify right side
    972.36x = 669,660.00
  5. Step 5: Solve for x
    x = 669,660.00/972.36
  6. Step 6: Final answer
    x = 688.70

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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.