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Finding the Fourth Proportional to 912.79, 1,258.80 and 597.70

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Solution

The fourth proportional to 912.79, 1,258.80 and 597.70 is: 824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.79 : 1,258.80 = 597.70 : x
  2. Step 2: Convert to fraction form
    912.79/1,258.80 = 597.70/x
  3. Step 3: Cross multiply
    912.79x = 1,258.80 × 597.70
  4. Step 4: Simplify right side
    912.79x = 752,384.76
  5. Step 5: Solve for x
    x = 752,384.76/912.79
  6. Step 6: Final answer
    x = 824.27

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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.