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Finding the Fourth Proportional to 947.61, 1,417.31 and 556.68

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Solution

The fourth proportional to 947.61, 1,417.31 and 556.68 is: 832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.61 : 1,417.31 = 556.68 : x
  2. Step 2: Convert to fraction form
    947.61/1,417.31 = 556.68/x
  3. Step 3: Cross multiply
    947.61x = 1,417.31 × 556.68
  4. Step 4: Simplify right side
    947.61x = 788,985.35
  5. Step 5: Solve for x
    x = 788,985.35/947.61
  6. Step 6: Final answer
    x = 832.61

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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.