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Finding the Fourth Proportional to 1,564.61, 2,347.44 and 525.11

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Solution

The fourth proportional to 1,564.61, 2,347.44 and 525.11 is: 787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.61 : 2,347.44 = 525.11 : x
  2. Step 2: Convert to fraction form
    1,564.61/2,347.44 = 525.11/x
  3. Step 3: Cross multiply
    1,564.61x = 2,347.44 × 525.11
  4. Step 4: Simplify right side
    1,564.61x = 1,232,649.86
  5. Step 5: Solve for x
    x = 1,232,649.86/1,564.61
  6. Step 6: Final answer
    x = 787.83

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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.