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Finding the Fourth Proportional to 1,130.58, 1,696.50 and 553.50

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Solution

The fourth proportional to 1,130.58, 1,696.50 and 553.50 is: 830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.58 : 1,696.50 = 553.50 : x
  2. Step 2: Convert to fraction form
    1,130.58/1,696.50 = 553.50/x
  3. Step 3: Cross multiply
    1,130.58x = 1,696.50 × 553.50
  4. Step 4: Simplify right side
    1,130.58x = 939,012.75
  5. Step 5: Solve for x
    x = 939,012.75/1,130.58
  6. Step 6: Final answer
    x = 830.56

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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.