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Finding the Fourth Proportional to 972.35, 1,458.52 and 561.23

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Solution

The fourth proportional to 972.35, 1,458.52 and 561.23 is: 841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.35 : 1,458.52 = 561.23 : x
  2. Step 2: Convert to fraction form
    972.35/1,458.52 = 561.23/x
  3. Step 3: Cross multiply
    972.35x = 1,458.52 × 561.23
  4. Step 4: Simplify right side
    972.35x = 818,555.08
  5. Step 5: Solve for x
    x = 818,555.08/972.35
  6. Step 6: Final answer
    x = 841.83

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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.