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Finding the Fourth Proportional to 907, 1,355.79 and 785.02

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Solution

The fourth proportional to 907, 1,355.79 and 785.02 is: 1,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    907 : 1,355.79 = 785.02 : x
  2. Step 2: Convert to fraction form
    907/1,355.79 = 785.02/x
  3. Step 3: Cross multiply
    907x = 1,355.79 × 785.02
  4. Step 4: Simplify right side
    907x = 1,064,322.27
  5. Step 5: Solve for x
    x = 1,064,322.27/907
  6. Step 6: Final answer
    x = 1,173.45

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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.