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Finding the Fourth Proportional to 940.68, 1,298.14 and 515.30

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Solution

The fourth proportional to 940.68, 1,298.14 and 515.30 is: 711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.68 : 1,298.14 = 515.30 : x
  2. Step 2: Convert to fraction form
    940.68/1,298.14 = 515.30/x
  3. Step 3: Cross multiply
    940.68x = 1,298.14 × 515.30
  4. Step 4: Simplify right side
    940.68x = 668,931.54
  5. Step 5: Solve for x
    x = 668,931.54/940.68
  6. Step 6: Final answer
    x = 711.11

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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.