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Finding the Fourth Proportional to 946.87, 1,307.51 and 915.88

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Solution

The fourth proportional to 946.87, 1,307.51 and 915.88 is: 1,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.87 : 1,307.51 = 915.88 : x
  2. Step 2: Convert to fraction form
    946.87/1,307.51 = 915.88/x
  3. Step 3: Cross multiply
    946.87x = 1,307.51 × 915.88
  4. Step 4: Simplify right side
    946.87x = 1,197,522.26
  5. Step 5: Solve for x
    x = 1,197,522.26/946.87
  6. Step 6: Final answer
    x = 1,264.72

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