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Finding the Fourth Proportional to 947.02, 1,417.40 and 580.08

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Solution

The fourth proportional to 947.02, 1,417.40 and 580.08 is: 868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.02 : 1,417.40 = 580.08 : x
  2. Step 2: Convert to fraction form
    947.02/1,417.40 = 580.08/x
  3. Step 3: Cross multiply
    947.02x = 1,417.40 × 580.08
  4. Step 4: Simplify right side
    947.02x = 822,205.39
  5. Step 5: Solve for x
    x = 822,205.39/947.02
  6. Step 6: Final answer
    x = 868.20

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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.