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Finding the Fourth Proportional to 970.07, 1,338.19 and 592.08

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Solution

The fourth proportional to 970.07, 1,338.19 and 592.08 is: 816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.07 : 1,338.19 = 592.08 : x
  2. Step 2: Convert to fraction form
    970.07/1,338.19 = 592.08/x
  3. Step 3: Cross multiply
    970.07x = 1,338.19 × 592.08
  4. Step 4: Simplify right side
    970.07x = 792,315.54
  5. Step 5: Solve for x
    x = 792,315.54/970.07
  6. Step 6: Final answer
    x = 816.76

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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.