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Finding the Fourth Proportional to 907.29, 1,354.41 and 870.84

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Solution

The fourth proportional to 907.29, 1,354.41 and 870.84 is: 1,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.29 : 1,354.41 = 870.84 : x
  2. Step 2: Convert to fraction form
    907.29/1,354.41 = 870.84/x
  3. Step 3: Cross multiply
    907.29x = 1,354.41 × 870.84
  4. Step 4: Simplify right side
    907.29x = 1,179,474.40
  5. Step 5: Solve for x
    x = 1,179,474.40/907.29
  6. Step 6: Final answer
    x = 1,300.00

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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.