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Finding the Fourth Proportional to 1,112.32, 1,668.58 and 535.20

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Solution

The fourth proportional to 1,112.32, 1,668.58 and 535.20 is: 802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.32 : 1,668.58 = 535.20 : x
  2. Step 2: Convert to fraction form
    1,112.32/1,668.58 = 535.20/x
  3. Step 3: Cross multiply
    1,112.32x = 1,668.58 × 535.20
  4. Step 4: Simplify right side
    1,112.32x = 893,024.02
  5. Step 5: Solve for x
    x = 893,024.02/1,112.32
  6. Step 6: Final answer
    x = 802.85

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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.