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Finding the Fourth Proportional to 970.16, 1,454.40 and 393.44

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Solution

The fourth proportional to 970.16, 1,454.40 and 393.44 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,454.40 = 393.44 : x
  2. Step 2: Convert to fraction form
    970.16/1,454.40 = 393.44/x
  3. Step 3: Cross multiply
    970.16x = 1,454.40 × 393.44
  4. Step 4: Simplify right side
    970.16x = 572,219.14
  5. Step 5: Solve for x
    x = 572,219.14/970.16
  6. Step 6: Final answer
    x = 589.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.