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Finding the Fourth Proportional to 1,003.49, 1,503.58 and 612.31

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Solution

The fourth proportional to 1,003.49, 1,503.58 and 612.31 is: 917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.49 : 1,503.58 = 612.31 : x
  2. Step 2: Convert to fraction form
    1,003.49/1,503.58 = 612.31/x
  3. Step 3: Cross multiply
    1,003.49x = 1,503.58 × 612.31
  4. Step 4: Simplify right side
    1,003.49x = 920,657.07
  5. Step 5: Solve for x
    x = 920,657.07/1,003.49
  6. Step 6: Final answer
    x = 917.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.