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Finding the Fourth Proportional to 1,159.55, 1,728.99 and 1,030.76

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Solution

The fourth proportional to 1,159.55, 1,728.99 and 1,030.76 is: 1,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.55 : 1,728.99 = 1,030.76 : x
  2. Step 2: Convert to fraction form
    1,159.55/1,728.99 = 1,030.76/x
  3. Step 3: Cross multiply
    1,159.55x = 1,728.99 × 1,030.76
  4. Step 4: Simplify right side
    1,159.55x = 1,782,168.58
  5. Step 5: Solve for x
    x = 1,782,168.58/1,159.55
  6. Step 6: Final answer
    x = 1,536.95

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1.5x scale

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.