Home / 1,045.80-1,569.50-469.16

Finding the Fourth Proportional to 1,045.80, 1,569.50 and 469.16

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Solution

The fourth proportional to 1,045.80, 1,569.50 and 469.16 is: 704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.80 : 1,569.50 = 469.16 : x
  2. Step 2: Convert to fraction form
    1,045.80/1,569.50 = 469.16/x
  3. Step 3: Cross multiply
    1,045.80x = 1,569.50 × 469.16
  4. Step 4: Simplify right side
    1,045.80x = 736,346.62
  5. Step 5: Solve for x
    x = 736,346.62/1,045.80
  6. Step 6: Final answer
    x = 704.10

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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.