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Finding the Fourth Proportional to 917.83, 1,266.59 and 498.18

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Solution

The fourth proportional to 917.83, 1,266.59 and 498.18 is: 687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.83 : 1,266.59 = 498.18 : x
  2. Step 2: Convert to fraction form
    917.83/1,266.59 = 498.18/x
  3. Step 3: Cross multiply
    917.83x = 1,266.59 × 498.18
  4. Step 4: Simplify right side
    917.83x = 630,989.81
  5. Step 5: Solve for x
    x = 630,989.81/917.83
  6. Step 6: Final answer
    x = 687.48

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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.