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Finding the Fourth Proportional to 704.19, 1,051.08 and 623.10

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Solution

The fourth proportional to 704.19, 1,051.08 and 623.10 is: 930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.19 : 1,051.08 = 623.10 : x
  2. Step 2: Convert to fraction form
    704.19/1,051.08 = 623.10/x
  3. Step 3: Cross multiply
    704.19x = 1,051.08 × 623.10
  4. Step 4: Simplify right side
    704.19x = 654,927.95
  5. Step 5: Solve for x
    x = 654,927.95/704.19
  6. Step 6: Final answer
    x = 930.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.