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Finding the Fourth Proportional to 907.68, 1,354.50 and 777.60

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Solution

The fourth proportional to 907.68, 1,354.50 and 777.60 is: 1,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.68 : 1,354.50 = 777.60 : x
  2. Step 2: Convert to fraction form
    907.68/1,354.50 = 777.60/x
  3. Step 3: Cross multiply
    907.68x = 1,354.50 × 777.60
  4. Step 4: Simplify right side
    907.68x = 1,053,259.20
  5. Step 5: Solve for x
    x = 1,053,259.20/907.68
  6. Step 6: Final answer
    x = 1,160.39

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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.