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Finding the Fourth Proportional to 1,530.77, 2,295 and 708.55

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Solution

The fourth proportional to 1,530.77, 2,295 and 708.55 is: 1,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.77 : 2,295 = 708.55 : x
  2. Step 2: Convert to fraction form
    1,530.77/2,295 = 708.55/x
  3. Step 3: Cross multiply
    1,530.77x = 2,295 × 708.55
  4. Step 4: Simplify right side
    1,530.77x = 1,626,116.51
  5. Step 5: Solve for x
    x = 1,626,116.51/1,530.77
  6. Step 6: Final answer
    x = 1,062.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.