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Finding the Fourth Proportional to 946.42, 1,411.86 and 880.13

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Solution

The fourth proportional to 946.42, 1,411.86 and 880.13 is: 1,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.42 : 1,411.86 = 880.13 : x
  2. Step 2: Convert to fraction form
    946.42/1,411.86 = 880.13/x
  3. Step 3: Cross multiply
    946.42x = 1,411.86 × 880.13
  4. Step 4: Simplify right side
    946.42x = 1,242,627.17
  5. Step 5: Solve for x
    x = 1,242,627.17/946.42
  6. Step 6: Final answer
    x = 1,312.98

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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.