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Finding the Fourth Proportional to 914.73, 1,365.60 and 784.77

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Solution

The fourth proportional to 914.73, 1,365.60 and 784.77 is: 1,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.73 : 1,365.60 = 784.77 : x
  2. Step 2: Convert to fraction form
    914.73/1,365.60 = 784.77/x
  3. Step 3: Cross multiply
    914.73x = 1,365.60 × 784.77
  4. Step 4: Simplify right side
    914.73x = 1,071,681.91
  5. Step 5: Solve for x
    x = 1,071,681.91/914.73
  6. Step 6: Final answer
    x = 1,171.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.