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Finding the Fourth Proportional to 970.70, 1,455.23 and 386.12

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Solution

The fourth proportional to 970.70, 1,455.23 and 386.12 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.70 : 1,455.23 = 386.12 : x
  2. Step 2: Convert to fraction form
    970.70/1,455.23 = 386.12/x
  3. Step 3: Cross multiply
    970.70x = 1,455.23 × 386.12
  4. Step 4: Simplify right side
    970.70x = 561,887.10
  5. Step 5: Solve for x
    x = 561,887.10/970.70
  6. Step 6: Final answer
    x = 578.85

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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.