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Finding the Fourth Proportional to 873.10, 1,307.13 and 580.89

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Solution

The fourth proportional to 873.10, 1,307.13 and 580.89 is: 869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.10 : 1,307.13 = 580.89 : x
  2. Step 2: Convert to fraction form
    873.10/1,307.13 = 580.89/x
  3. Step 3: Cross multiply
    873.10x = 1,307.13 × 580.89
  4. Step 4: Simplify right side
    873.10x = 759,298.75
  5. Step 5: Solve for x
    x = 759,298.75/873.10
  6. Step 6: Final answer
    x = 869.66

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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.