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Finding the Fourth Proportional to 946.88, 1,307.52 and 637.28

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Solution

The fourth proportional to 946.88, 1,307.52 and 637.28 is: 880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.88 : 1,307.52 = 637.28 : x
  2. Step 2: Convert to fraction form
    946.88/1,307.52 = 637.28/x
  3. Step 3: Cross multiply
    946.88x = 1,307.52 × 637.28
  4. Step 4: Simplify right side
    946.88x = 833,256.35
  5. Step 5: Solve for x
    x = 833,256.35/946.88
  6. Step 6: Final answer
    x = 880.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.