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Finding the Fourth Proportional to 1,130.05, 1,559.46 and 632.69

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Solution

The fourth proportional to 1,130.05, 1,559.46 and 632.69 is: 873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.05 : 1,559.46 = 632.69 : x
  2. Step 2: Convert to fraction form
    1,130.05/1,559.46 = 632.69/x
  3. Step 3: Cross multiply
    1,130.05x = 1,559.46 × 632.69
  4. Step 4: Simplify right side
    1,130.05x = 986,654.75
  5. Step 5: Solve for x
    x = 986,654.75/1,130.05
  6. Step 6: Final answer
    x = 873.11

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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.