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Finding the Fourth Proportional to 1,063.94, 1,587.36 and 947.00

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Solution

The fourth proportional to 1,063.94, 1,587.36 and 947.00 is: 1,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.94 : 1,587.36 = 947.00 : x
  2. Step 2: Convert to fraction form
    1,063.94/1,587.36 = 947.00/x
  3. Step 3: Cross multiply
    1,063.94x = 1,587.36 × 947.00
  4. Step 4: Simplify right side
    1,063.94x = 1,503,221.98
  5. Step 5: Solve for x
    x = 1,503,221.98/1,063.94
  6. Step 6: Final answer
    x = 1,412.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.