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Finding the Fourth Proportional to 947.01, 1,307.30 and 569.07

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Solution

The fourth proportional to 947.01, 1,307.30 and 569.07 is: 785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.01 : 1,307.30 = 569.07 : x
  2. Step 2: Convert to fraction form
    947.01/1,307.30 = 569.07/x
  3. Step 3: Cross multiply
    947.01x = 1,307.30 × 569.07
  4. Step 4: Simplify right side
    947.01x = 743,942.37
  5. Step 5: Solve for x
    x = 743,942.37/947.01
  6. Step 6: Final answer
    x = 785.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.