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Finding the Fourth Proportional to 947.17, 1,420.77 and 460.10

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Solution

The fourth proportional to 947.17, 1,420.77 and 460.10 is: 690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.17 : 1,420.77 = 460.10 : x
  2. Step 2: Convert to fraction form
    947.17/1,420.77 = 460.10/x
  3. Step 3: Cross multiply
    947.17x = 1,420.77 × 460.10
  4. Step 4: Simplify right side
    947.17x = 653,686.87
  5. Step 5: Solve for x
    x = 653,686.87/947.17
  6. Step 6: Final answer
    x = 690.15

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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.