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Finding the Fourth Proportional to 508.52, 701.70 and 430.76

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Solution

The fourth proportional to 508.52, 701.70 and 430.76 is: 594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.52 : 701.70 = 430.76 : x
  2. Step 2: Convert to fraction form
    508.52/701.70 = 430.76/x
  3. Step 3: Cross multiply
    508.52x = 701.70 × 430.76
  4. Step 4: Simplify right side
    508.52x = 302,264.29
  5. Step 5: Solve for x
    x = 302,264.29/508.52
  6. Step 6: Final answer
    x = 594.40

Related Problems

Find fourth proportional to 254.26, 350.85 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.