Home / 1,070.90-1,597.32-976.58

Finding the Fourth Proportional to 1,070.90, 1,597.32 and 976.58

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Solution

The fourth proportional to 1,070.90, 1,597.32 and 976.58 is: 1,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.90 : 1,597.32 = 976.58 : x
  2. Step 2: Convert to fraction form
    1,070.90/1,597.32 = 976.58/x
  3. Step 3: Cross multiply
    1,070.90x = 1,597.32 × 976.58
  4. Step 4: Simplify right side
    1,070.90x = 1,559,905.88
  5. Step 5: Solve for x
    x = 1,559,905.88/1,070.90
  6. Step 6: Final answer
    x = 1,456.63

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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.