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Finding the Fourth Proportional to 601.20, 895.59 and 586.80

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Solution

The fourth proportional to 601.20, 895.59 and 586.80 is: 874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 895.59 = 586.80 : x
  2. Step 2: Convert to fraction form
    601.20/895.59 = 586.80/x
  3. Step 3: Cross multiply
    601.20x = 895.59 × 586.80
  4. Step 4: Simplify right side
    601.20x = 525,532.21
  5. Step 5: Solve for x
    x = 525,532.21/601.20
  6. Step 6: Final answer
    x = 874.14

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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.