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Finding the Fourth Proportional to 1,070.43, 1,477.22 and 604.59

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Solution

The fourth proportional to 1,070.43, 1,477.22 and 604.59 is: 834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.43 : 1,477.22 = 604.59 : x
  2. Step 2: Convert to fraction form
    1,070.43/1,477.22 = 604.59/x
  3. Step 3: Cross multiply
    1,070.43x = 1,477.22 × 604.59
  4. Step 4: Simplify right side
    1,070.43x = 893,109.42
  5. Step 5: Solve for x
    x = 893,109.42/1,070.43
  6. Step 6: Final answer
    x = 834.35

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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.