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Finding the Fourth Proportional to 946.48, 1,421.04 and 870.16

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Solution

The fourth proportional to 946.48, 1,421.04 and 870.16 is: 1,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.48 : 1,421.04 = 870.16 : x
  2. Step 2: Convert to fraction form
    946.48/1,421.04 = 870.16/x
  3. Step 3: Cross multiply
    946.48x = 1,421.04 × 870.16
  4. Step 4: Simplify right side
    946.48x = 1,236,532.17
  5. Step 5: Solve for x
    x = 1,236,532.17/946.48
  6. Step 6: Final answer
    x = 1,306.45

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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.