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Finding the Fourth Proportional to 670.90, 926.16 and 505.18

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Solution

The fourth proportional to 670.90, 926.16 and 505.18 is: 697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.90 : 926.16 = 505.18 : x
  2. Step 2: Convert to fraction form
    670.90/926.16 = 505.18/x
  3. Step 3: Cross multiply
    670.90x = 926.16 × 505.18
  4. Step 4: Simplify right side
    670.90x = 467,877.51
  5. Step 5: Solve for x
    x = 467,877.51/670.90
  6. Step 6: Final answer
    x = 697.39

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Half scale
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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.