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Finding the Fourth Proportional to 924.64, 1,386.80 and 461.93

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Solution

The fourth proportional to 924.64, 1,386.80 and 461.93 is: 692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.64 : 1,386.80 = 461.93 : x
  2. Step 2: Convert to fraction form
    924.64/1,386.80 = 461.93/x
  3. Step 3: Cross multiply
    924.64x = 1,386.80 × 461.93
  4. Step 4: Simplify right side
    924.64x = 640,597.01
  5. Step 5: Solve for x
    x = 640,597.01/924.64
  6. Step 6: Final answer
    x = 692.81

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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.