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Finding the Fourth Proportional to 972.53, 1,457.41 and 561.77

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Solution

The fourth proportional to 972.53, 1,457.41 and 561.77 is: 841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.53 : 1,457.41 = 561.77 : x
  2. Step 2: Convert to fraction form
    972.53/1,457.41 = 561.77/x
  3. Step 3: Cross multiply
    972.53x = 1,457.41 × 561.77
  4. Step 4: Simplify right side
    972.53x = 818,729.22
  5. Step 5: Solve for x
    x = 818,729.22/972.53
  6. Step 6: Final answer
    x = 841.85

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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.