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Finding the Fourth Proportional to 931.16, 1,284.90 and 558.13

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Solution

The fourth proportional to 931.16, 1,284.90 and 558.13 is: 770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.16 : 1,284.90 = 558.13 : x
  2. Step 2: Convert to fraction form
    931.16/1,284.90 = 558.13/x
  3. Step 3: Cross multiply
    931.16x = 1,284.90 × 558.13
  4. Step 4: Simplify right side
    931.16x = 717,138.02
  5. Step 5: Solve for x
    x = 717,138.02/931.16
  6. Step 6: Final answer
    x = 770.16

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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.