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Finding the Fourth Proportional to 882.48, 1,216.14 and 646.50

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Solution

The fourth proportional to 882.48, 1,216.14 and 646.50 is: 890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.48 : 1,216.14 = 646.50 : x
  2. Step 2: Convert to fraction form
    882.48/1,216.14 = 646.50/x
  3. Step 3: Cross multiply
    882.48x = 1,216.14 × 646.50
  4. Step 4: Simplify right side
    882.48x = 786,234.51
  5. Step 5: Solve for x
    x = 786,234.51/882.48
  6. Step 6: Final answer
    x = 890.94

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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.