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Finding the Fourth Proportional to 726.76, 1,003 and 560.89

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Solution

The fourth proportional to 726.76, 1,003 and 560.89 is: 774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.76 : 1,003 = 560.89 : x
  2. Step 2: Convert to fraction form
    726.76/1,003 = 560.89/x
  3. Step 3: Cross multiply
    726.76x = 1,003 × 560.89
  4. Step 4: Simplify right side
    726.76x = 562,567.66
  5. Step 5: Solve for x
    x = 562,567.66/726.76
  6. Step 6: Final answer
    x = 774.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.