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Finding the Fourth Proportional to 907.32, 1,358.64 and 577.26

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Solution

The fourth proportional to 907.32, 1,358.64 and 577.26 is: 864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.32 : 1,358.64 = 577.26 : x
  2. Step 2: Convert to fraction form
    907.32/1,358.64 = 577.26/x
  3. Step 3: Cross multiply
    907.32x = 1,358.64 × 577.26
  4. Step 4: Simplify right side
    907.32x = 784,288.53
  5. Step 5: Solve for x
    x = 784,288.53/907.32
  6. Step 6: Final answer
    x = 864.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.