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Finding the Fourth Proportional to 1,265.01, 1,897.77 and 524.67

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Solution

The fourth proportional to 1,265.01, 1,897.77 and 524.67 is: 787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.01 : 1,897.77 = 524.67 : x
  2. Step 2: Convert to fraction form
    1,265.01/1,897.77 = 524.67/x
  3. Step 3: Cross multiply
    1,265.01x = 1,897.77 × 524.67
  4. Step 4: Simplify right side
    1,265.01x = 995,702.99
  5. Step 5: Solve for x
    x = 995,702.99/1,265.01
  6. Step 6: Final answer
    x = 787.11

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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.