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Finding the Fourth Proportional to 561.17, 774.69 and 430.76

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Solution

The fourth proportional to 561.17, 774.69 and 430.76 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.17 : 774.69 = 430.76 : x
  2. Step 2: Convert to fraction form
    561.17/774.69 = 430.76/x
  3. Step 3: Cross multiply
    561.17x = 774.69 × 430.76
  4. Step 4: Simplify right side
    561.17x = 333,705.46
  5. Step 5: Solve for x
    x = 333,705.46/561.17
  6. Step 6: Final answer
    x = 594.66

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Find fourth proportional to 280.59, 387.35 and 215.38
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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.