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Finding the Fourth Proportional to 917.47, 1,266.01 and 623.13

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Solution

The fourth proportional to 917.47, 1,266.01 and 623.13 is: 859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.47 : 1,266.01 = 623.13 : x
  2. Step 2: Convert to fraction form
    917.47/1,266.01 = 623.13/x
  3. Step 3: Cross multiply
    917.47x = 1,266.01 × 623.13
  4. Step 4: Simplify right side
    917.47x = 788,888.81
  5. Step 5: Solve for x
    x = 788,888.81/917.47
  6. Step 6: Final answer
    x = 859.85

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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.