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Finding the Fourth Proportional to 918.38, 1,267.36 and 498.74

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Solution

The fourth proportional to 918.38, 1,267.36 and 498.74 is: 688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.38 : 1,267.36 = 498.74 : x
  2. Step 2: Convert to fraction form
    918.38/1,267.36 = 498.74/x
  3. Step 3: Cross multiply
    918.38x = 1,267.36 × 498.74
  4. Step 4: Simplify right side
    918.38x = 632,075.54
  5. Step 5: Solve for x
    x = 632,075.54/918.38
  6. Step 6: Final answer
    x = 688.25

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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.