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Finding the Fourth Proportional to 931.60, 1,283.88 and 698.32

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Solution

The fourth proportional to 931.60, 1,283.88 and 698.32 is: 962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.60 : 1,283.88 = 698.32 : x
  2. Step 2: Convert to fraction form
    931.60/1,283.88 = 698.32/x
  3. Step 3: Cross multiply
    931.60x = 1,283.88 × 698.32
  4. Step 4: Simplify right side
    931.60x = 896,559.08
  5. Step 5: Solve for x
    x = 896,559.08/931.60
  6. Step 6: Final answer
    x = 962.39

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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.