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Finding the Fourth Proportional to 970.81, 1,339.75 and 528.69

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Solution

The fourth proportional to 970.81, 1,339.75 and 528.69 is: 729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.81 : 1,339.75 = 528.69 : x
  2. Step 2: Convert to fraction form
    970.81/1,339.75 = 528.69/x
  3. Step 3: Cross multiply
    970.81x = 1,339.75 × 528.69
  4. Step 4: Simplify right side
    970.81x = 708,312.43
  5. Step 5: Solve for x
    x = 708,312.43/970.81
  6. Step 6: Final answer
    x = 729.61

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Double scale
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1.5x scale

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.