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Finding the Fourth Proportional to 970.25, 1,455.38 and 393.13

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Solution

The fourth proportional to 970.25, 1,455.38 and 393.13 is: 589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.25 : 1,455.38 = 393.13 : x
  2. Step 2: Convert to fraction form
    970.25/1,455.38 = 393.13/x
  3. Step 3: Cross multiply
    970.25x = 1,455.38 × 393.13
  4. Step 4: Simplify right side
    970.25x = 572,144.30
  5. Step 5: Solve for x
    x = 572,144.30/970.25
  6. Step 6: Final answer
    x = 589.69

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1.5x scale

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.