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Finding the Fourth Proportional to 597.76, 890.51 and 560.50

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Solution

The fourth proportional to 597.76, 890.51 and 560.50 is: 835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 890.51 = 560.50 : x
  2. Step 2: Convert to fraction form
    597.76/890.51 = 560.50/x
  3. Step 3: Cross multiply
    597.76x = 890.51 × 560.50
  4. Step 4: Simplify right side
    597.76x = 499,130.86
  5. Step 5: Solve for x
    x = 499,130.86/597.76
  6. Step 6: Final answer
    x = 835.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.