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Finding the Fourth Proportional to 970.52, 1,340.40 and 655.23

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Solution

The fourth proportional to 970.52, 1,340.40 and 655.23 is: 904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.52 : 1,340.40 = 655.23 : x
  2. Step 2: Convert to fraction form
    970.52/1,340.40 = 655.23/x
  3. Step 3: Cross multiply
    970.52x = 1,340.40 × 655.23
  4. Step 4: Simplify right side
    970.52x = 878,270.29
  5. Step 5: Solve for x
    x = 878,270.29/970.52
  6. Step 6: Final answer
    x = 904.95

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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.