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Finding the Fourth Proportional to 813.48, 1,119.60 and 647.16

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Solution

The fourth proportional to 813.48, 1,119.60 and 647.16 is: 890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.48 : 1,119.60 = 647.16 : x
  2. Step 2: Convert to fraction form
    813.48/1,119.60 = 647.16/x
  3. Step 3: Cross multiply
    813.48x = 1,119.60 × 647.16
  4. Step 4: Simplify right side
    813.48x = 724,560.34
  5. Step 5: Solve for x
    x = 724,560.34/813.48
  6. Step 6: Final answer
    x = 890.69

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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.