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Finding the Fourth Proportional to 970.30, 1,338.15 and 782.65

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Solution

The fourth proportional to 970.30, 1,338.15 and 782.65 is: 1,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.30 : 1,338.15 = 782.65 : x
  2. Step 2: Convert to fraction form
    970.30/1,338.15 = 782.65/x
  3. Step 3: Cross multiply
    970.30x = 1,338.15 × 782.65
  4. Step 4: Simplify right side
    970.30x = 1,047,303.10
  5. Step 5: Solve for x
    x = 1,047,303.10/970.30
  6. Step 6: Final answer
    x = 1,079.36

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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.