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Finding the Fourth Proportional to 972.44, 1,458.66 and 425.00

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Solution

The fourth proportional to 972.44, 1,458.66 and 425.00 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.44 : 1,458.66 = 425.00 : x
  2. Step 2: Convert to fraction form
    972.44/1,458.66 = 425.00/x
  3. Step 3: Cross multiply
    972.44x = 1,458.66 × 425.00
  4. Step 4: Simplify right side
    972.44x = 619,925.14
  5. Step 5: Solve for x
    x = 619,925.14/972.44
  6. Step 6: Final answer
    x = 637.50

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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.