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Finding the Fourth Proportional to 947.37, 1,307.55 and 616.08

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Solution

The fourth proportional to 947.37, 1,307.55 and 616.08 is: 850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.37 : 1,307.55 = 616.08 : x
  2. Step 2: Convert to fraction form
    947.37/1,307.55 = 616.08/x
  3. Step 3: Cross multiply
    947.37x = 1,307.55 × 616.08
  4. Step 4: Simplify right side
    947.37x = 805,555.40
  5. Step 5: Solve for x
    x = 805,555.40/947.37
  6. Step 6: Final answer
    x = 850.31

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1.5x scale

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.