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Finding the Fourth Proportional to 560.21, 836.55 and 457.70

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Solution

The fourth proportional to 560.21, 836.55 and 457.70 is: 683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.21 : 836.55 = 457.70 : x
  2. Step 2: Convert to fraction form
    560.21/836.55 = 457.70/x
  3. Step 3: Cross multiply
    560.21x = 836.55 × 457.70
  4. Step 4: Simplify right side
    560.21x = 382,888.94
  5. Step 5: Solve for x
    x = 382,888.94/560.21
  6. Step 6: Final answer
    x = 683.47

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1.5x scale

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.