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Finding the Fourth Proportional to 1,130.94, 1,561.05 and 689.13

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Solution

The fourth proportional to 1,130.94, 1,561.05 and 689.13 is: 951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.94 : 1,561.05 = 689.13 : x
  2. Step 2: Convert to fraction form
    1,130.94/1,561.05 = 689.13/x
  3. Step 3: Cross multiply
    1,130.94x = 1,561.05 × 689.13
  4. Step 4: Simplify right side
    1,130.94x = 1,075,766.39
  5. Step 5: Solve for x
    x = 1,075,766.39/1,130.94
  6. Step 6: Final answer
    x = 951.21

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Half scale
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Double scale
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1.5x scale

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.