Home / 1,565.02-2,346.72-577.72

Finding the Fourth Proportional to 1,565.02, 2,346.72 and 577.72

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Solution

The fourth proportional to 1,565.02, 2,346.72 and 577.72 is: 866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.02 : 2,346.72 = 577.72 : x
  2. Step 2: Convert to fraction form
    1,565.02/2,346.72 = 577.72/x
  3. Step 3: Cross multiply
    1,565.02x = 2,346.72 × 577.72
  4. Step 4: Simplify right side
    1,565.02x = 1,355,747.08
  5. Step 5: Solve for x
    x = 1,355,747.08/1,565.02
  6. Step 6: Final answer
    x = 866.28

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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.