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Finding the Fourth Proportional to 1,068.83, 1,475.16 and 620.63

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Solution

The fourth proportional to 1,068.83, 1,475.16 and 620.63 is: 856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.83 : 1,475.16 = 620.63 : x
  2. Step 2: Convert to fraction form
    1,068.83/1,475.16 = 620.63/x
  3. Step 3: Cross multiply
    1,068.83x = 1,475.16 × 620.63
  4. Step 4: Simplify right side
    1,068.83x = 915,521.18
  5. Step 5: Solve for x
    x = 915,521.18/1,068.83
  6. Step 6: Final answer
    x = 856.57

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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.