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Finding the Fourth Proportional to 912.16, 1,369.20 and 586.72

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Solution

The fourth proportional to 912.16, 1,369.20 and 586.72 is: 880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.16 : 1,369.20 = 586.72 : x
  2. Step 2: Convert to fraction form
    912.16/1,369.20 = 586.72/x
  3. Step 3: Cross multiply
    912.16x = 1,369.20 × 586.72
  4. Step 4: Simplify right side
    912.16x = 803,337.02
  5. Step 5: Solve for x
    x = 803,337.02/912.16
  6. Step 6: Final answer
    x = 880.70

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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.