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Finding the Fourth Proportional to 1,564.90, 2,347.35 and 410.65

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Solution

The fourth proportional to 1,564.90, 2,347.35 and 410.65 is: 615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.90 : 2,347.35 = 410.65 : x
  2. Step 2: Convert to fraction form
    1,564.90/2,347.35 = 410.65/x
  3. Step 3: Cross multiply
    1,564.90x = 2,347.35 × 410.65
  4. Step 4: Simplify right side
    1,564.90x = 963,939.28
  5. Step 5: Solve for x
    x = 963,939.28/1,564.90
  6. Step 6: Final answer
    x = 615.98

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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.