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Finding the Fourth Proportional to 1,300.07, 1,794.08 and 776

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Solution

The fourth proportional to 1,300.07, 1,794.08 and 776 is: 1,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.07 : 1,794.08 = 776 : x
  2. Step 2: Convert to fraction form
    1,300.07/1,794.08 = 776/x
  3. Step 3: Cross multiply
    1,300.07x = 1,794.08 × 776
  4. Step 4: Simplify right side
    1,300.07x = 1,392,206.08
  5. Step 5: Solve for x
    x = 1,392,206.08/1,300.07
  6. Step 6: Final answer
    x = 1,070.87

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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.