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Finding the Fourth Proportional to 931.40, 1,284.92 and 558.20

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Solution

The fourth proportional to 931.40, 1,284.92 and 558.20 is: 770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.40 : 1,284.92 = 558.20 : x
  2. Step 2: Convert to fraction form
    931.40/1,284.92 = 558.20/x
  3. Step 3: Cross multiply
    931.40x = 1,284.92 × 558.20
  4. Step 4: Simplify right side
    931.40x = 717,242.34
  5. Step 5: Solve for x
    x = 717,242.34/931.40
  6. Step 6: Final answer
    x = 770.07

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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.