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Finding the Fourth Proportional to 1,070.34, 1,477.08 and 604.60

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Solution

The fourth proportional to 1,070.34, 1,477.08 and 604.60 is: 834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.34 : 1,477.08 = 604.60 : x
  2. Step 2: Convert to fraction form
    1,070.34/1,477.08 = 604.60/x
  3. Step 3: Cross multiply
    1,070.34x = 1,477.08 × 604.60
  4. Step 4: Simplify right side
    1,070.34x = 893,042.57
  5. Step 5: Solve for x
    x = 893,042.57/1,070.34
  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.