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Finding the Fourth Proportional to 947.04, 1,307.56 and 772.80

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Solution

The fourth proportional to 947.04, 1,307.56 and 772.80 is: 1,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.04 : 1,307.56 = 772.80 : x
  2. Step 2: Convert to fraction form
    947.04/1,307.56 = 772.80/x
  3. Step 3: Cross multiply
    947.04x = 1,307.56 × 772.80
  4. Step 4: Simplify right side
    947.04x = 1,010,482.37
  5. Step 5: Solve for x
    x = 1,010,482.37/947.04
  6. Step 6: Final answer
    x = 1,066.99

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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.