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Finding the Fourth Proportional to 947.61, 1,421.51 and 460.59

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Solution

The fourth proportional to 947.61, 1,421.51 and 460.59 is: 690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.61 : 1,421.51 = 460.59 : x
  2. Step 2: Convert to fraction form
    947.61/1,421.51 = 460.59/x
  3. Step 3: Cross multiply
    947.61x = 1,421.51 × 460.59
  4. Step 4: Simplify right side
    947.61x = 654,730.99
  5. Step 5: Solve for x
    x = 654,730.99/947.61
  6. Step 6: Final answer
    x = 690.93

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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.