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Finding the Fourth Proportional to 561.65, 775.10 and 522.77

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Solution

The fourth proportional to 561.65, 775.10 and 522.77 is: 721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.65 : 775.10 = 522.77 : x
  2. Step 2: Convert to fraction form
    561.65/775.10 = 522.77/x
  3. Step 3: Cross multiply
    561.65x = 775.10 × 522.77
  4. Step 4: Simplify right side
    561.65x = 405,196.46
  5. Step 5: Solve for x
    x = 405,196.46/561.65
  6. Step 6: Final answer
    x = 721.45

Related Problems

Find fourth proportional to 280.82, 387.55 and 261.38
Half scale
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Double scale
Find fourth proportional to 562.65, 776.48 and 523.77
Similar ratio
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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.