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Finding the Fourth Proportional to 530.76, 790.32 and 524.96

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Solution

The fourth proportional to 530.76, 790.32 and 524.96 is: 781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 790.32 = 524.96 : x
  2. Step 2: Convert to fraction form
    530.76/790.32 = 524.96/x
  3. Step 3: Cross multiply
    530.76x = 790.32 × 524.96
  4. Step 4: Simplify right side
    530.76x = 414,886.39
  5. Step 5: Solve for x
    x = 414,886.39/530.76
  6. Step 6: Final answer
    x = 781.68

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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.