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Finding the Fourth Proportional to 1,130.12, 1,690.50 and 1,061

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Solution

The fourth proportional to 1,130.12, 1,690.50 and 1,061 is: 1,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.12 : 1,690.50 = 1,061 : x
  2. Step 2: Convert to fraction form
    1,130.12/1,690.50 = 1,061/x
  3. Step 3: Cross multiply
    1,130.12x = 1,690.50 × 1,061
  4. Step 4: Simplify right side
    1,130.12x = 1,793,620.50
  5. Step 5: Solve for x
    x = 1,793,620.50/1,130.12
  6. Step 6: Final answer
    x = 1,587.11

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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.