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Finding the Fourth Proportional to 1,036.68, 1,430.06 and 682.23

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Solution

The fourth proportional to 1,036.68, 1,430.06 and 682.23 is: 941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.68 : 1,430.06 = 682.23 : x
  2. Step 2: Convert to fraction form
    1,036.68/1,430.06 = 682.23/x
  3. Step 3: Cross multiply
    1,036.68x = 1,430.06 × 682.23
  4. Step 4: Simplify right side
    1,036.68x = 975,623.74
  5. Step 5: Solve for x
    x = 975,623.74/1,036.68
  6. Step 6: Final answer
    x = 941.11

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1.5x scale

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.